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  • 1
    Online Resource
    Online Resource
    Quantum Groups : Proceedings of the 8th International Workshop on Mathematical Physics Held at the Arnold Sommerfeld Institute, Clausthal, FRG, on 19–26 July 1989 (1990)
    Berlin [u.a.] : Springer
    Details
    UID:
    b3kat_BV041964081
    Format: 1 Online-Ressource
    ISBN: 9783540535034
    Series Statement: Lecture notes in physics 370
    Additional Edition: Erscheint auch als Druckausgabe ISBN 978-3-540-46647-5
    Language: English
    Keywords: Quantengruppe ; Gruppe ; Quantentheorie ; Quantenmechanik ; Gruppe ; Quantenfeldtheorie ; Gruppentheorie ; Konferenzschrift
    DOI: 10.1007/3-540-53503-9
    URL: Volltext
    URL: Buchcover
    Author information: Doebner, Heinz-Dietrich 1931-2022
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    EUV Frankfurt
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    BTU Cottbus
  • 2
    Online Resource
    Online Resource
    Group Theoretical Methods in Physics : Proceedings of the XVI International Colloquium Held at Varna, Bullgaria, June 15–20, 1987 (1988)
    Berlin [u.a.] : Springer
    Details
    UID:
    b3kat_BV041964030
    Format: 1 Online-Ressource
    ISBN: 9783540502456
    Series Statement: Lecture notes in physics 313
    Additional Edition: Erscheint auch als Druckausgabe ISBN 978-3-540-45959-0
    Language: English
    Keywords: Physik ; Gruppentheorie ; Konferenzschrift
    DOI: 10.1007/BFb0012254
    URL: Volltext
    Author information: Doebner, Heinz-Dietrich 1931-2022
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  • 3
    Online Resource
    Online Resource
    Group Theoretical Methods in Physics : Proceedings of the XVI International Colloquium Held at Varna, Bullgaria, June 15-20, 1987 (1988)
    Berlin, Heidelberg : Springer Berlin Heidelberg
    Details
    UID:
    gbv_749084995
    Format: 1 Online-Ressource (XI, 599 p)
    Edition: Springer eBook Collection. Physics and Astronomy
    ISBN: 9783540459590 , 9783540502456
    Series Statement: Lecture Notes in Physics 313
    Content: The aim of this well-known annual colloquium on group theoretical and geometrical methods in physics is to give an overview of current research. Original contributions along with some review articles cover relevant mathematical developments as well as applications to physical phenomena. The volume contains contributions dealing with concepts from classical group theory, supergroups, superalgebras, infinite dimensional groups, Kac-Moody algebras and related structures. Applications to physics include quantization methods, nuclear physics, crystallography, gauge theory and strings in particle physics. Most of the articles have an introductory or a review section, so the volume will be useful not only for researchers but also for graduate students
    Content: Horospheres and Twistors -- Spectrally ordered Lie algebras -- Algebraic expressions for classes of generalized 6-j and 9-j symbols for certain Lie groups -- Harmonic analysis on coset spaces -- The mapping class group: Homology and linearity -- Invariantly ordered spectral lie algebras as abstract dynamical systems -- Realizations of representations of Kac-Moody groups and bilinear equations for ?-functions -- Recent developments in non linear representations and evolution equations -- New constructions for representations of semisimple lie groups -- Nonrelativistic supersymmetry -- Superfield algebraic structures with Grassmann-valued structure constants -- The non-uniqueness of supertrace -- Cohomological methods in supermanifold theory -- Superalgebras of symmetries in superquantum mechanics -- Supersymmetric quantum mechanics and critical potentials -- Constrained lagrangians in N = 2-superspace formulations for the constant magnetic field system -- On some graded algebras -- Self-consistency and supersymmetry in a many fermion system -- Essentially irreducible representations of the lie superalgebras sl(n/1) and sl(n/2) -- Octonions without octonions -- Soliton solutions and bilinear residue formula for the super Kadomtsev-Petviashvili hierarchy -- Indices for plethysms of representations of Lie superalgebras -- Constructions of Lie (super)algebras from triple systems -- Coherent states and quantization on homogeneous spaces -- Relativistic spectrum generating groups: Spectrum and radiative transitions in a collective model for hadrons -- Heisenberg equations of motion for, the Coulomb problem and so(4.2) -- Degenerate representations from quantum kinematical constraints -- Application of non-bijective transformations to various potentials -- Nonuniqueness of the variational formulation of classical equations of motion and quantization rules -- About Quadratic Transformations Connected To Hurwitz Transformations -- Geometric quantization of Riemann ellipsoids -- Group-theoretic approach to scattering: The Dirac-Coulomb problem and relativistic supersymmetry -- On a quantum mechanical d'Alembert principle -- Geometric quantization of the Kepler problem with a magnetic charge -- Lie algebra of a derivative nonlinear Schrödinger equation -- Symmetry and classification of energy bands in crystals -- Dynamical su(8) for phase-coexistence: Thermodynamics of an so(4) × so(4) submodel -- Chain adaptation of space group representations and induced space group Clebsch-Gordan matrices -- Perturbation of bisemigroups and transport theory -- Space group representations induced by local site symmetries -- Quasicrystals: A distanced overview -- The time inversion symmetry in case of time translation existing -- Ergodic properties of hard rod systems -- Reducible space groups -- Colour space groups of all cubic chromomorphic classes and their application -- Auxiliary group approach for group-subgroup related transformation matrices -- A new approach to non-periodic order in solids -- Group theoretical analysis of the lattice distorsion in anisotropic Superconductivity -- The topological theory of semidefects -- Symmetries in nuclei -- Boson representation of Sp(24, R) and classification of even-even nuclei -- Group Theory of the Symplectic Nuclear Model -- The nuclear collective WSp(6,R) model -- Extension of the interacting boson model: Higher order interactions preserving the dynamical symmetry (The 0(6) limit) -- Classical Yang-Mills fields with non-compact invariance -- Cartan connections in conformal gauge theories -- The anomaly-flux-index identity and its Euclidean extension -- Quantization of anomalous gauge theories: The chiral Schwinger model -- QED as a theory of quantized connection forms -- Group-theoretical aspects of dimensional reduction -- Sp(2)-symmetric realization of the ghost spectrum in gauge theories -- The symmetry group of the Euclidean CPn model as the invariance group of two bilinear formst -- On nets of local algebras on the Minkowski lattice Z4 -- Complex scalar fields in SO(2,1)-Invariant backgrounds: Representation of the symmetries in the schrödinger picture -- Conformally invariant wave equations on 3+2 de sitter space -- Massless particles in de sitter space -- Covariant lagrangian formulation of interacting heterotic strings -- A generalization of the fourier transform and applications to quantum field theory -- Harmonic representatives of instantons and self-dual monopoles -- Homogeneous space construction of Modular Invariant QFT models with a chiral U(1) current -- Some solutions of the U(N) sigma models -- Fermions and Jordan matrices -- Algebraic and arithmetic geometry in string theory
    Additional Edition: ISBN 9783540502456
    Language: English
    DOI: 10.1007/BFb0012254
    URL: Volltext
    URL: Inhaltstext
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  • 4
    Book
    Book
    Differential geometry, group representations, and quantization / (1991)
    Berlin u.a. :Springer,
    Details
    UID:
    almahu_BV004331360
    Format: XI, 280 S. : graph. Darst.
    ISBN: 3-540-53941-7 , 0-387-53941-7
    Series Statement: Lecture notes in physics 379
    Language: English
    Subjects: Physics , Mathematics
    RVK:
    UD 8220
    RVK:
    SK 370
    Keywords: Quantentheorie ; Quantisierung ; Gruppentheorie ; Darstellungstheorie ; Mathematische Physik ; Quantenphysik ; Gruppe ; Darstellung ; Mathematische Physik ; Quantenphysik ; Aufsatzsammlung ; Konferenzschrift
    URL: Inhaltstext
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  • 5
    Book
    Book
    Differential geometry, group representations, and quantization (1991)
    Berlin u.a. : Springer
    Details
    UID:
    b3kat_BV004331360
    Format: XI, 280 S. , graph. Darst.
    ISBN: 3540539417 , 0387539417
    Series Statement: Lecture notes in physics 379
    Language: English
    Subjects: Physics , Mathematics
    RVK:
    SK 370
    RVK:
    UD 8220
    Keywords: Quantentheorie ; Quantisierung ; Gruppentheorie ; Darstellungstheorie ; Mathematische Physik ; Quantenphysik ; Gruppe ; Darstellung ; Mathematische Physik ; Quantenphysik ; Aufsatzsammlung ; Konferenzschrift
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  • 6
    Online Resource
    Online Resource
    Quantum Groups : Proceedings of the 8th International Workshop on Mathematical Physics, Held at the Arnold Sommerfeld Institute, Clausthal, FRG, on 19–26 July 1989 (1990)
    Berlin, Heidelberg :Springer Berlin Heidelberg :
    Details
    UID:
    almafu_9959186282102883
    Format: 1 online resource (X, 438 p. 2 illus.)
    Edition: 1st ed. 1990.
    Edition: Online edition Springer Lecture Notes Archive ; 041142-5
    ISBN: 3-540-46647-9
    Series Statement: Lecture Notes in Physics, 370
    Content: A thorough analysis of exactly soluble models in nonlinear classical systems and in quantum systems as well as recent studies in conformal quantum field theory have revealed the structure of quantum groups to be an interesting and rich framework for mathematical and physical problems. In this book, for the first time, authors from different schools review in an intelligible way the various competing approaches: inverse scattering methods, 2-dimensional statistical models, Yang-Baxter algebras, the Bethe ansatz, conformal quantum field theory, representations, braid group statistics, noncommutative geometry, and harmonic analysis.
    Note: Bibliographic Level Mode of Issuance: Monograph , to quantum groups -- Mathematical guide to quantum groups -- A q-boson realization of the quantum group SU q (2) and the theory of q-tensor operators -- Polynomial basis for SU(2)q and Clebsch-Gordan coefficients -- U q (sl(2)) Invariant operators and reduced polynomial identities -- Classification and characters of Uq(sl(3, C ))representations -- Extremal projectors for quantized kac-moody superalgebras and some of their applications -- Yang-Baxter algebras, integrable theories and Betre Ansatz -- Yang-Baxter algebra — Bethe Ansatz — conformal quantum field theories — quantum groups -- Classical Yang-Baxter equations and quantum integrable systems (Gaudin models) -- Quantum groups as symmetries of chiral conformal algebras -- Comments on rational conformal field theory, quantum groups and tower of algebras -- Chern-Simons field theory and quantum groups -- Quantum symmetry associated with braid group statistics -- Sum rules for spins in (2 + 1)-dimensional quantum field theory -- Anomalies from the phenomenological and geometrical points of view -- KMS states, cyclic cohomology and supersymmetry -- Gauge theories based on a non-commutative geometry -- Algebras symmetries spaces. , English
    In: Springer eBooks
    Additional Edition: ISBN 3-540-53503-9
    Language: English
    DOI: 10.1007/3-540-53503-9
    URL: http://dx.doi.org/10.1007/3-540-53503-9
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  • 7
    Online Resource
    Online Resource
    Group Theoretical Methods in Physics : Proceedings of the XVI International Colloquium Held at Varna, Bulgaria, June 15-20, 1987 (1988)
    Berlin, Heidelberg :Springer Berlin Heidelberg :
    Details
    UID:
    almafu_9959186135202883
    Format: 1 online resource (XI, 599 p.)
    Edition: 1st ed. 1988.
    Edition: Online edition Springer Lecture Notes Archive ; 041142-5
    ISBN: 3-540-45959-6
    Series Statement: Lecture Notes in Physics, 313
    Content: The aim of this well-known annual colloquium on group theoretical and geometrical methods in physics is to give an overview of current research. Original contributions along with some review articles cover relevant mathematical developments as well as applications to physical phenomena. The volume contains contributions dealing with concepts from classical group theory, supergroups, superalgebras, infinite dimensional groups, Kac-Moody algebras and related structures. Applications to physics include quantization methods, nuclear physics, crystallography, gauge theory and strings in particle physics. Most of the articles have an introductory or a review section, so the volume will be useful not only for researchers but also for graduate students.
    Note: Bibliographic Level Mode of Issuance: Monograph , Horospheres and Twistors -- Spectrally ordered Lie algebras -- Algebraic expressions for classes of generalized 6-j and 9-j symbols for certain Lie groups -- Harmonic analysis on coset spaces -- The mapping class group: Homology and linearity -- Invariantly ordered spectral lie algebras as abstract dynamical systems -- Realizations of representations of Kac-Moody groups and bilinear equations for ?-functions -- Recent developments in non linear representations and evolution equations -- New constructions for representations of semisimple lie groups -- Nonrelativistic supersymmetry -- Superfield algebraic structures with Grassmann-valued structure constants -- The non-uniqueness of supertrace -- Cohomological methods in supermanifold theory -- Superalgebras of symmetries in superquantum mechanics -- Supersymmetric quantum mechanics and critical potentials -- Constrained lagrangians in N = 2-superspace formulations for the constant magnetic field system -- On some graded algebras -- Self-consistency and supersymmetry in a many fermion system -- Essentially irreducible representations of the lie superalgebras sl(n/1) and sl(n/2) -- Octonions without octonions -- Soliton solutions and bilinear residue formula for the super Kadomtsev-Petviashvili hierarchy -- Indices for plethysms of representations of Lie superalgebras -- Constructions of Lie (super)algebras from triple systems -- Coherent states and quantization on homogeneous spaces -- Relativistic spectrum generating groups: Spectrum and radiative transitions in a collective model for hadrons -- Heisenberg equations of motion for, the Coulomb problem and so(4.2) -- Degenerate representations from quantum kinematical constraints -- Application of non-bijective transformations to various potentials -- Nonuniqueness of the variational formulation of classical equations of motion and quantization rules -- About Quadratic Transformations Connected To Hurwitz Transformations -- Geometric quantization of Riemann ellipsoids -- Group-theoretic approach to scattering: The Dirac-Coulomb problem and relativistic supersymmetry -- On a quantum mechanical d'Alembert principle -- Geometric quantization of the Kepler problem with a magnetic charge -- Lie algebra of a derivative nonlinear Schrödinger equation -- Symmetry and classification of energy bands in crystals -- Dynamical su(8) for phase-coexistence: Thermodynamics of an so(4) × so(4) submodel -- Chain adaptation of space group representations and induced space group Clebsch-Gordan matrices -- Perturbation of bisemigroups and transport theory -- Space group representations induced by local site symmetries -- Quasicrystals: A distanced overview -- The time inversion symmetry in case of time translation existing -- Ergodic properties of hard rod systems -- Reducible space groups -- Colour space groups of all cubic chromomorphic classes and their application -- Auxiliary group approach for group-subgroup related transformation matrices -- A new approach to non-periodic order in solids -- Group theoretical analysis of the lattice distorsion in anisotropic Superconductivity -- The topological theory of semidefects -- Symmetries in nuclei -- Boson representation of Sp(24, R) and classification of even-even nuclei -- Group Theory of the Symplectic Nuclear Model -- The nuclear collective WSp(6,R) model -- Extension of the interacting boson model: Higher order interactions preserving the dynamical symmetry (The 0(6) limit) -- Classical Yang-Mills fields with non-compact invariance -- Cartan connections in conformal gauge theories -- The anomaly-flux-index identity and its Euclidean extension -- Quantization of anomalous gauge theories: The chiral Schwinger model -- QED as a theory of quantized connection forms -- Group-theoretical aspects of dimensional reduction -- Sp(2)-symmetric realization of the ghost spectrum in gauge theories -- The symmetry group of the Euclidean CPn model as the invariance group of two bilinear formst -- On nets of local algebras on the Minkowski lattice Z4 -- Complex scalar fields in SO(2,1)-Invariant backgrounds: Representation of the symmetries in the schrödinger picture -- Conformally invariant wave equations on 3+2 de sitter space -- Massless particles in de sitter space -- Covariant lagrangian formulation of interacting heterotic strings -- A generalization of the fourier transform and applications to quantum field theory -- Harmonic representatives of instantons and self-dual monopoles -- Homogeneous space construction of Modular Invariant QFT models with a chiral U(1) current -- Some solutions of the U(N) sigma models -- Fermions and Jordan matrices -- Algebraic and arithmetic geometry in string theory. , English
    In: Springer eBooks
    Additional Edition: ISBN 3-540-50245-9
    Language: English
    DOI: 10.1007/BFb0012254
    URL: http://dx.doi.org/10.1007/BFb0012254
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  • 8
    Online Resource
    Online Resource
    Group Theoretical Methods in Physics : Proceedings of the XVI International Colloquium Held at Varna, Bullgaria, June 15–20, 1987 (1988)
    Berlin, Heidelberg :Springer Berlin Heidelberg,
    Details
    UID:
    almahu_9947923244202882
    Format: XI, 599 p. , online resource.
    ISBN: 9783540459590
    Series Statement: Lecture Notes in Physics, 313
    Content: The aim of this well-known annual colloquium on group theoretical and geometrical methods in physics is to give an overview of current research. Original contributions along with some review articles cover relevant mathematical developments as well as applications to physical phenomena. The volume contains contributions dealing with concepts from classical group theory, supergroups, superalgebras, infinite dimensional groups, Kac-Moody algebras and related structures. Applications to physics include quantization methods, nuclear physics, crystallography, gauge theory and strings in particle physics. Most of the articles have an introductory or a review section, so the volume will be useful not only for researchers but also for graduate students.
    Note: Horospheres and Twistors -- Spectrally ordered Lie algebras -- Algebraic expressions for classes of generalized 6-j and 9-j symbols for certain Lie groups -- Harmonic analysis on coset spaces -- The mapping class group: Homology and linearity -- Invariantly ordered spectral lie algebras as abstract dynamical systems -- Realizations of representations of Kac-Moody groups and bilinear equations for ?-functions -- Recent developments in non linear representations and evolution equations -- New constructions for representations of semisimple lie groups -- Nonrelativistic supersymmetry -- Superfield algebraic structures with Grassmann-valued structure constants -- The non-uniqueness of supertrace -- Cohomological methods in supermanifold theory -- Superalgebras of symmetries in superquantum mechanics -- Supersymmetric quantum mechanics and critical potentials -- Constrained lagrangians in N = 2-superspace formulations for the constant magnetic field system -- On some graded algebras -- Self-consistency and supersymmetry in a many fermion system -- Essentially irreducible representations of the lie superalgebras sl(n/1) and sl(n/2) -- Octonions without octonions -- Soliton solutions and bilinear residue formula for the super Kadomtsev-Petviashvili hierarchy -- Indices for plethysms of representations of Lie superalgebras -- Constructions of Lie (super)algebras from triple systems -- Coherent states and quantization on homogeneous spaces -- Relativistic spectrum generating groups: Spectrum and radiative transitions in a collective model for hadrons -- Heisenberg equations of motion for, the Coulomb problem and so(4.2) -- Degenerate representations from quantum kinematical constraints -- Application of non-bijective transformations to various potentials -- Nonuniqueness of the variational formulation of classical equations of motion and quantization rules -- About Quadratic Transformations Connected To Hurwitz Transformations -- Geometric quantization of Riemann ellipsoids -- Group-theoretic approach to scattering: The Dirac-Coulomb problem and relativistic supersymmetry -- On a quantum mechanical d'Alembert principle -- Geometric quantization of the Kepler problem with a magnetic charge -- Lie algebra of a derivative nonlinear Schrödinger equation -- Symmetry and classification of energy bands in crystals -- Dynamical su(8) for phase-coexistence: Thermodynamics of an so(4) × so(4) submodel -- Chain adaptation of space group representations and induced space group Clebsch-Gordan matrices -- Perturbation of bisemigroups and transport theory -- Space group representations induced by local site symmetries -- Quasicrystals: A distanced overview -- The time inversion symmetry in case of time translation existing -- Ergodic properties of hard rod systems -- Reducible space groups -- Colour space groups of all cubic chromomorphic classes and their application -- Auxiliary group approach for group-subgroup related transformation matrices -- A new approach to non-periodic order in solids -- Group theoretical analysis of the lattice distorsion in anisotropic Superconductivity -- The topological theory of semidefects -- Symmetries in nuclei -- Boson representation of Sp(24, R) and classification of even-even nuclei -- Group Theory of the Symplectic Nuclear Model -- The nuclear collective WSp(6,R) model -- Extension of the interacting boson model: Higher order interactions preserving the dynamical symmetry (The 0(6) limit) -- Classical Yang-Mills fields with non-compact invariance -- Cartan connections in conformal gauge theories -- The anomaly-flux-index identity and its Euclidean extension -- Quantization of anomalous gauge theories: The chiral Schwinger model -- QED as a theory of quantized connection forms -- Group-theoretical aspects of dimensional reduction -- Sp(2)-symmetric realization of the ghost spectrum in gauge theories -- The symmetry group of the Euclidean CPn model as the invariance group of two bilinear formst -- On nets of local algebras on the Minkowski lattice Z4 -- Complex scalar fields in SO(2,1)-Invariant backgrounds: Representation of the symmetries in the schrödinger picture -- Conformally invariant wave equations on 3+2 de sitter space -- Massless particles in de sitter space -- Covariant lagrangian formulation of interacting heterotic strings -- A generalization of the fourier transform and applications to quantum field theory -- Harmonic representatives of instantons and self-dual monopoles -- Homogeneous space construction of Modular Invariant QFT models with a chiral U(1) current -- Some solutions of the U(N) sigma models -- Fermions and Jordan matrices -- Algebraic and arithmetic geometry in string theory.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9783540502456
    Language: English
    DOI: 10.1007/BFb0012254
    URL: http://dx.doi.org/10.1007/BFb0012254
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  • 9
    Online Resource
    Online Resource
    Group Theoretical Methods in Physics : Proceedings of the XVI International Colloquium Held at Varna, Bulgaria, June 15-20, 1987 (1988)
    Berlin, Heidelberg :Springer Berlin Heidelberg :
    Details
    UID:
    edoccha_9959186135202883
    Format: 1 online resource (XI, 599 p.)
    Edition: 1st ed. 1988.
    Edition: Online edition Springer Lecture Notes Archive ; 041142-5
    ISBN: 3-540-45959-6
    Series Statement: Lecture Notes in Physics, 313
    Content: The aim of this well-known annual colloquium on group theoretical and geometrical methods in physics is to give an overview of current research. Original contributions along with some review articles cover relevant mathematical developments as well as applications to physical phenomena. The volume contains contributions dealing with concepts from classical group theory, supergroups, superalgebras, infinite dimensional groups, Kac-Moody algebras and related structures. Applications to physics include quantization methods, nuclear physics, crystallography, gauge theory and strings in particle physics. Most of the articles have an introductory or a review section, so the volume will be useful not only for researchers but also for graduate students.
    Note: Bibliographic Level Mode of Issuance: Monograph , Horospheres and Twistors -- Spectrally ordered Lie algebras -- Algebraic expressions for classes of generalized 6-j and 9-j symbols for certain Lie groups -- Harmonic analysis on coset spaces -- The mapping class group: Homology and linearity -- Invariantly ordered spectral lie algebras as abstract dynamical systems -- Realizations of representations of Kac-Moody groups and bilinear equations for ?-functions -- Recent developments in non linear representations and evolution equations -- New constructions for representations of semisimple lie groups -- Nonrelativistic supersymmetry -- Superfield algebraic structures with Grassmann-valued structure constants -- The non-uniqueness of supertrace -- Cohomological methods in supermanifold theory -- Superalgebras of symmetries in superquantum mechanics -- Supersymmetric quantum mechanics and critical potentials -- Constrained lagrangians in N = 2-superspace formulations for the constant magnetic field system -- On some graded algebras -- Self-consistency and supersymmetry in a many fermion system -- Essentially irreducible representations of the lie superalgebras sl(n/1) and sl(n/2) -- Octonions without octonions -- Soliton solutions and bilinear residue formula for the super Kadomtsev-Petviashvili hierarchy -- Indices for plethysms of representations of Lie superalgebras -- Constructions of Lie (super)algebras from triple systems -- Coherent states and quantization on homogeneous spaces -- Relativistic spectrum generating groups: Spectrum and radiative transitions in a collective model for hadrons -- Heisenberg equations of motion for, the Coulomb problem and so(4.2) -- Degenerate representations from quantum kinematical constraints -- Application of non-bijective transformations to various potentials -- Nonuniqueness of the variational formulation of classical equations of motion and quantization rules -- About Quadratic Transformations Connected To Hurwitz Transformations -- Geometric quantization of Riemann ellipsoids -- Group-theoretic approach to scattering: The Dirac-Coulomb problem and relativistic supersymmetry -- On a quantum mechanical d'Alembert principle -- Geometric quantization of the Kepler problem with a magnetic charge -- Lie algebra of a derivative nonlinear Schrödinger equation -- Symmetry and classification of energy bands in crystals -- Dynamical su(8) for phase-coexistence: Thermodynamics of an so(4) × so(4) submodel -- Chain adaptation of space group representations and induced space group Clebsch-Gordan matrices -- Perturbation of bisemigroups and transport theory -- Space group representations induced by local site symmetries -- Quasicrystals: A distanced overview -- The time inversion symmetry in case of time translation existing -- Ergodic properties of hard rod systems -- Reducible space groups -- Colour space groups of all cubic chromomorphic classes and their application -- Auxiliary group approach for group-subgroup related transformation matrices -- A new approach to non-periodic order in solids -- Group theoretical analysis of the lattice distorsion in anisotropic Superconductivity -- The topological theory of semidefects -- Symmetries in nuclei -- Boson representation of Sp(24, R) and classification of even-even nuclei -- Group Theory of the Symplectic Nuclear Model -- The nuclear collective WSp(6,R) model -- Extension of the interacting boson model: Higher order interactions preserving the dynamical symmetry (The 0(6) limit) -- Classical Yang-Mills fields with non-compact invariance -- Cartan connections in conformal gauge theories -- The anomaly-flux-index identity and its Euclidean extension -- Quantization of anomalous gauge theories: The chiral Schwinger model -- QED as a theory of quantized connection forms -- Group-theoretical aspects of dimensional reduction -- Sp(2)-symmetric realization of the ghost spectrum in gauge theories -- The symmetry group of the Euclidean CPn model as the invariance group of two bilinear formst -- On nets of local algebras on the Minkowski lattice Z4 -- Complex scalar fields in SO(2,1)-Invariant backgrounds: Representation of the symmetries in the schrödinger picture -- Conformally invariant wave equations on 3+2 de sitter space -- Massless particles in de sitter space -- Covariant lagrangian formulation of interacting heterotic strings -- A generalization of the fourier transform and applications to quantum field theory -- Harmonic representatives of instantons and self-dual monopoles -- Homogeneous space construction of Modular Invariant QFT models with a chiral U(1) current -- Some solutions of the U(N) sigma models -- Fermions and Jordan matrices -- Algebraic and arithmetic geometry in string theory. , English
    In: Springer eBooks
    Additional Edition: ISBN 3-540-50245-9
    Language: English
    DOI: 10.1007/BFb0012254
    URL: http://dx.doi.org/10.1007/BFb0012254
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    Online Resource
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    Charité
  • 10
    Online Resource
    Online Resource
    Group Theoretical Methods in Physics : Proceedings of the XVI International Colloquium Held at Varna, Bulgaria, June 15-20, 1987 (1988)
    Berlin, Heidelberg :Springer Berlin Heidelberg :
    Details
    UID:
    edocfu_9959186135202883
    Format: 1 online resource (XI, 599 p.)
    Edition: 1st ed. 1988.
    Edition: Online edition Springer Lecture Notes Archive ; 041142-5
    ISBN: 3-540-45959-6
    Series Statement: Lecture Notes in Physics, 313
    Content: The aim of this well-known annual colloquium on group theoretical and geometrical methods in physics is to give an overview of current research. Original contributions along with some review articles cover relevant mathematical developments as well as applications to physical phenomena. The volume contains contributions dealing with concepts from classical group theory, supergroups, superalgebras, infinite dimensional groups, Kac-Moody algebras and related structures. Applications to physics include quantization methods, nuclear physics, crystallography, gauge theory and strings in particle physics. Most of the articles have an introductory or a review section, so the volume will be useful not only for researchers but also for graduate students.
    Note: Bibliographic Level Mode of Issuance: Monograph , Horospheres and Twistors -- Spectrally ordered Lie algebras -- Algebraic expressions for classes of generalized 6-j and 9-j symbols for certain Lie groups -- Harmonic analysis on coset spaces -- The mapping class group: Homology and linearity -- Invariantly ordered spectral lie algebras as abstract dynamical systems -- Realizations of representations of Kac-Moody groups and bilinear equations for ?-functions -- Recent developments in non linear representations and evolution equations -- New constructions for representations of semisimple lie groups -- Nonrelativistic supersymmetry -- Superfield algebraic structures with Grassmann-valued structure constants -- The non-uniqueness of supertrace -- Cohomological methods in supermanifold theory -- Superalgebras of symmetries in superquantum mechanics -- Supersymmetric quantum mechanics and critical potentials -- Constrained lagrangians in N = 2-superspace formulations for the constant magnetic field system -- On some graded algebras -- Self-consistency and supersymmetry in a many fermion system -- Essentially irreducible representations of the lie superalgebras sl(n/1) and sl(n/2) -- Octonions without octonions -- Soliton solutions and bilinear residue formula for the super Kadomtsev-Petviashvili hierarchy -- Indices for plethysms of representations of Lie superalgebras -- Constructions of Lie (super)algebras from triple systems -- Coherent states and quantization on homogeneous spaces -- Relativistic spectrum generating groups: Spectrum and radiative transitions in a collective model for hadrons -- Heisenberg equations of motion for, the Coulomb problem and so(4.2) -- Degenerate representations from quantum kinematical constraints -- Application of non-bijective transformations to various potentials -- Nonuniqueness of the variational formulation of classical equations of motion and quantization rules -- About Quadratic Transformations Connected To Hurwitz Transformations -- Geometric quantization of Riemann ellipsoids -- Group-theoretic approach to scattering: The Dirac-Coulomb problem and relativistic supersymmetry -- On a quantum mechanical d'Alembert principle -- Geometric quantization of the Kepler problem with a magnetic charge -- Lie algebra of a derivative nonlinear Schrödinger equation -- Symmetry and classification of energy bands in crystals -- Dynamical su(8) for phase-coexistence: Thermodynamics of an so(4) × so(4) submodel -- Chain adaptation of space group representations and induced space group Clebsch-Gordan matrices -- Perturbation of bisemigroups and transport theory -- Space group representations induced by local site symmetries -- Quasicrystals: A distanced overview -- The time inversion symmetry in case of time translation existing -- Ergodic properties of hard rod systems -- Reducible space groups -- Colour space groups of all cubic chromomorphic classes and their application -- Auxiliary group approach for group-subgroup related transformation matrices -- A new approach to non-periodic order in solids -- Group theoretical analysis of the lattice distorsion in anisotropic Superconductivity -- The topological theory of semidefects -- Symmetries in nuclei -- Boson representation of Sp(24, R) and classification of even-even nuclei -- Group Theory of the Symplectic Nuclear Model -- The nuclear collective WSp(6,R) model -- Extension of the interacting boson model: Higher order interactions preserving the dynamical symmetry (The 0(6) limit) -- Classical Yang-Mills fields with non-compact invariance -- Cartan connections in conformal gauge theories -- The anomaly-flux-index identity and its Euclidean extension -- Quantization of anomalous gauge theories: The chiral Schwinger model -- QED as a theory of quantized connection forms -- Group-theoretical aspects of dimensional reduction -- Sp(2)-symmetric realization of the ghost spectrum in gauge theories -- The symmetry group of the Euclidean CPn model as the invariance group of two bilinear formst -- On nets of local algebras on the Minkowski lattice Z4 -- Complex scalar fields in SO(2,1)-Invariant backgrounds: Representation of the symmetries in the schrödinger picture -- Conformally invariant wave equations on 3+2 de sitter space -- Massless particles in de sitter space -- Covariant lagrangian formulation of interacting heterotic strings -- A generalization of the fourier transform and applications to quantum field theory -- Harmonic representatives of instantons and self-dual monopoles -- Homogeneous space construction of Modular Invariant QFT models with a chiral U(1) current -- Some solutions of the U(N) sigma models -- Fermions and Jordan matrices -- Algebraic and arithmetic geometry in string theory. , English
    In: Springer eBooks
    Additional Edition: ISBN 3-540-50245-9
    Language: English
    DOI: 10.1007/BFb0012254
    URL: http://dx.doi.org/10.1007/BFb0012254
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