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  • 1
    Online Resource
    Online Resource
    Geometric invariant theory : over the real and complex numbers (2017)
    Cham :Springer,
    Details
    UID:
    almafu_BV044529991
    Format: 1 Online-Ressource (XIV, 190 Seiten).
    ISBN: 978-3-319-65907-7
    Series Statement: Universitext
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-65905-3
    Language: English
    Subjects: Mathematics
    RVK:
    SK 240
    RVK:
    SK 260
    Keywords: Geometrische Invariantentheorie ; Lie-Gruppe
    DOI: 10.1007/978-3-319-65907-7
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: lizenzpflichtig
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
    URL: Inhaltstext
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    Open Access Request
    FU Berlin
    UB Potsdam
    HTW Berlin
    Charité
    BTU Cottbus
    TU Berlin
  • 2
    Book
    Book
    Representations and invariants of the classical groups / (1998)
    Cambridge [u.a.] :Cambridge Univ. Press,
    Details
    UID:
    almahu_BV011949260
    Format: XVI, 685 S. : graph. Darst.
    Edition: 1. publ.
    ISBN: 0-521-58273-3 , 0-521-66348-2
    Series Statement: Encyclopedia of mathematics and its applications 68
    Later: Später u.d.T. Goodman, Roe Symmetry, representations, and invariants
    Language: English
    Subjects: Mathematics
    RVK:
    SK 260
    Keywords: Lineare algebraische Gruppe ; Darstellungstheorie ; Invariante
    URL: Inhaltstext
    URL: Verlagsangaben
    URL: Inhaltsverzeichnis
    Author information: Goodman, Roe.
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  • 3
    Book
    Book
    Continuous cohomology, discrete subgroups, and representations of reductive groups / (1980)
    Princeton, NJ :Princeton Univ. Press,
    Details
    UID:
    almafu_BV002246385
    Format: XVII, 387 S.
    ISBN: 0-691-08248-0
    Series Statement: Annals of mathematics studies 94
    Language: English
    Subjects: Mathematics
    RVK:
    SI 830
    Keywords: Diskrete Untergruppe ; Stetige Kohomologie ; Reduktive Gruppe ; Darstellungstheorie ; Reduktive Gruppe ; Darstellung ; Lie-Gruppe
    URL: Verlagsangaben
    Author information: Borel, Armand 1923-2003
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  • 4
    Book
    Book
    Symplectic geometry and Fourier analysis / (1977)
    Brookline, Mass. :Math Sci Press,
    Details
    UID:
    almafu_BV001974369
    Format: XVII, 436 Seiten.
    ISBN: 0-915692-15-5
    Series Statement: Lie Groups 5
    Additional Edition: With an appendix on quantum mechanics
    Language: English
    Subjects: Mathematics
    RVK:
    SK 340
    RVK:
    SK 680
    Keywords: Synthetische Geometrie ; Harmonische Analyse ; Symplektische Geometrie ; Harmonische Analyse ; Symplektische Geometrie ; Harmonische Analyse
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001287773&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
    URL: Inhaltsverzeichnis
    URL: Inhaltsverzeichnis
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  • 5
    Online Resource
    Online Resource
    Real reductive groups.; II / (1992)
    Boston :Academic Press,
    Details
    UID:
    almahu_9947367264702882
    Format: 1 online resource (475 p.)
    ISBN: 1-281-76768-9 , 9786611767686 , 0-08-087452-5
    Series Statement: Pure and applied mathematics ; v. 132
    Content: Real reductive groups II
    Note: Description based upon print version of record. , Front Cover; Real Reductive Groups II; Copyright Page; Contents; Preface; Introduction; Chapter 10. Intertwining Operators; Introduction; 10.1. The intertwining operators; 10.2. The proof of Theorem 10.1.5; 10.3. Limit formulas; 10.4. A generalization of L. Cohn's determinant formula; 10.5. The Harish-Chandra μ-function; 10.6. Notes and further results; 10.A. Appendices to Chapter 10; 10.A.l. Some constructions related to finite dimensional representations; 10.A.2. Some results related to Sterling's formula; 10.A.3. Miscellaneous results; Chapter 11. Completions of Admissible (g, K)-Modules , Introduction11.1. Some results on Weyl group invariants; 11.2. A lemma of Kostant; 11.3. Representations with small K-types; 11.4. The automatic continuity theorem; 11.5. Completions of (g, K)-modules; 11.6. Analysis of completions of (g, K)-modules; 11.7. The proof of the main theorem; 11.8. The action of f(G) on admissible representations; 11.9. Poisson integral representations; 11.10. Notes and further results; 1l.A. Appendices to Chapter 11; 11.A.l. Some results on the action of a compact group on a symmetric algebra; 11.A.2. Small K-types; 11.A.3. Some results on Verma modules , 11.A.4. Some functional analysisChapter 12. The Theory of the Leading Term; Introduction; 12.1. Characters of principal series representations; 12.2. The modules VQ|P,σ,iv; 12.3. The leading term; 12.4. The dependence of the leading term on parameters; 12.5. The leading term and intertwining operators; 12.6. The main inequality; 12.7. Wave packets; 12.8. The Harish-Chandra transform of a wave packet; 12.9. Notes; 12.A. Appendices to Chapter 12; 12.A.1. Traces of certain kernel operators; 12.A.2. Some inequalities; 12.A.3. The topology of induced representations , Chapter 13. The Harish-Chandra Plancherel TheoremIntroduction; 13.1. The Eisenstein integral; 13.2. The leading terms of Eisenstein integrals; 13.3. Wave packets of Eisenstein integrals; 13.4. The Harish-Chandra Plancherel theorem; 13.5. The calculation of μ(ω, υ) for the fundamental series; 13.6. The intertwining algebra of Ip,σ,iv and the irreducibility of the fundamental series; 13.7. Groups with one conjugacy class of Cartan subgroup; 13.8. The Plancherel theorem for L2(G/K); 13.9. Notes and further results; Chapter 14. Abstract Representation Theory; Introduction , 14.1. The basic theory of C* algebras14.2. The C* algebra of a locally compact group; 14.3. Quotients of C* algebras; 14.4. Density theorems; 14.5. Representations of C* algebras and positive functionals; 14.6. The topology on the unitary dual of a C* algebra; 14.7. The topology on the unitary dual of a locally compact group; 14.8. Direct integrals and Von Neumann algebras; 14.9. Direct integrals of representations of C* algebras and locally compact groups; 14.10. Decompositions of representations of CCR C* algebras and locally compact groups , 14.11. The Plancherel formula for CCR locally compact, unimodular groups , English
    Additional Edition: ISBN 0-12-732961-7
    Language: English
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    HU Berlin
    FU Berlin
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  • 6
    Online Resource
    Online Resource
    Real reductive groups.; I / (1988)
    Boston :Academic Press,
    Details
    UID:
    almahu_9947367265702882
    Format: 1 online resource (439 p.)
    ISBN: 1-281-76767-0 , 9786611767679 , 0-08-087451-7
    Series Statement: Pure and applied mathematics ; 132
    Content: Real Productive Groups I
    Note: Description based upon print version of record. , Front Cover; Real Reductive Groups I; Copyright Page; Content; Preface; Introduction; Chapter 0. Background Material; Introduction; 0.1. Invariant measures on homogeneous spaces; 0.2. The structure of reductive Lie algebras; 0.3. The structure of compact Lie groups; 0.4. The universal enveloping algebra of a Lie algebra; 0.5. Some basic representation theory; 0.6. Modules over the universal enveloping algebra; Chapter 1. Elementary Representation Theory; Introduction; 1.1. General properties of representations; 1.2. Schur's lemma; 1.3. Square integrable representations , 3.1. The Chevalley restriction theorem3.2. The Harish-Chandra isomorphism of the center of the universal enveloping algebra; 3.3. (g, K)-modules; 3.4. A basic theorem of Harish-Chandra; 3.5. The subquotient theorem; 3.6. The spherical principal series; 3.7. A Lemma of Osborne; 3.8. The subrepresentation theorem; 3.9. Notes and further results; 3.A. Appendices to Chapter 3; 3.A.1. Some associative algebra; 3.A.2. A Lemma of Harish-Chandra; Chapter 4. The Asymptotic Behavior of Matrix Coefficients; Introduction; 4.1. The Jacquet module of an admissible (g, K)-module , 4.2. Three applications of the Jacquet module4.3. Asymptotic behavior of matrix coefficients; 4.4. Asymptotic expansions of matrix coefficients; 4.5. Harish-Chandra's Ξ-function; 4.6. Notes and further results; 4.A. Appendices to Chapter 4; 4.A.1. Asymptotic expansions; 4.A.2. Some inequalities; Chapter 5. The Langlands Classification; Introduction; 5.1. Tempered (g, K)-modules; 5.2. The principal series; 5.3. The intertwining integrals; 5.4. The Langlands classification; 5.5. Some applications of the classification; 5.6. SL(2, R); 5.7. SL(2, C); 5.8. Notes and further results , 5.A. Appendices to Chapter 55.A.1. A Lemma of Langlands; 5.A.2. An a priori estimate; 5.A.3. Square integrability and the polar decomposition; Chapter 6. A Construction of the Fundamental Series; Introduction; 6.1. Relative Lie algebra cohomology; 6.2. A construction of ( f, K)-modules; 6.3. The Zuckerman functors; 6.4. Some vanishing theorems; 6.5. Blattner type formulas; 6.6. Irreducibility; 6.7. Unitarizability; 6.8. Temperedness and square integrability; 6.9. The case of disconnected G; 6.10. Notes and further results; 6.A. Appendices to Chapter 6; 6.A.1. Some homological algebra , 6.A.2. Partition functions , English
    Additional Edition: ISBN 0-12-732960-9
    Language: English
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    HU Berlin
    FU Berlin
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  • 7
    Book
    Book
    Symmetry, representations, and invariants / (2009)
    New York, NY :Springer,
    Details
    UID:
    almahu_BV035506427
    Format: XX, 716 S. : , graph. Darst.
    ISBN: 978-0-387-79851-6
    Series Statement: Graduate texts in mathematics 255
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-0-387-79852-3
    Former: Frühere Ausg. u.d.T. Goodman, Roe Representations and invariants of the classical groups
    Language: English
    Subjects: Mathematics
    RVK:
    SI 990
    RVK:
    SK 260
    RVK:
    SK 340
    Keywords: Lineare algebraische Gruppe ; Darstellungstheorie ; Invariante
    URL: Inhaltsverzeichnis
    URL: Klappentext
    URL: Inhaltsverzeichnis
    URL: Klappentext
    URL: Inhaltsverzeichnis
    URL: Klappentext
    Author information: Goodman, Roe.
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  • 8
    Book
    Book
    Continuous cohomology, discrete subgroups, and representations of reductive groups (2000)
    Providence, R.I. : American Mathematical Society
    Details
    UID:
    gbv_249411040
    Format: XVII, 260 S.
    Edition: 2. ed.
    ISBN: 0821808516
    Series Statement: Mathematical surveys and monographs 67
    Note: Includes bibliographical references and index
    Language: English
    Subjects: Mathematics
    RVK:
    SK 320
    Keywords: Kohomologie ; Diskrete Untergruppe ; Reduktive Lie-Gruppe ; Darstellung ; Konferenzschrift
    URL: Inhaltsverzeichnis
    URL: Inhaltstext
    Author information: Borel, Armand 1923-2003
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  • 9
    Online Resource
    Online Resource
    Real reductive groups II (1992)
    Boston : Academic Press
    Details
    UID:
    gbv_1655656767
    Format: Online Ressource (xiv, 454 pages)
    Edition: Online-Ausg.
    ISBN: 9780127329611 , 0127329617 , 0127329617
    Series Statement: Pure and applied mathematics v. 132, pt. 2
    Content: Intertwining operators -- Completions of admissible (g, K)-modules -- Theory of the leading term -- Harish-Chandra Plancherel theorem -- Abstract representation theory -- Whittaker Plancherel theorem
    Note: Includes bibliographical references and indexes. - Print version record , Front Cover; Real Reductive Groups II; Copyright Page; Contents; Preface; Introduction; Chapter 10. Intertwining Operators; Introduction; 10.1. The intertwining operators; 10.2. The proof of Theorem 10.1.5; 10.3. Limit formulas; 10.4. A generalization of L. Cohn's determinant formula; 10.5. The Harish-Chandra μ-function; 10.6. Notes and further results; 10.A. Appendices to Chapter 10; 10.A.l. Some constructions related to finite dimensional representations; 10.A.2. Some results related to Sterling's formula; 10.A.3. Miscellaneous results; Chapter 11. Completions of Admissible (g, K)-Modules , Introduction11.1. Some results on Weyl group invariants; 11.2. A lemma of Kostant; 11.3. Representations with small K-types; 11.4. The automatic continuity theorem; 11.5. Completions of (g, K)-modules; 11.6. Analysis of completions of (g, K)-modules; 11.7. The proof of the main theorem; 11.8. The action of f(G) on admissible representations; 11.9. Poisson integral representations; 11.10. Notes and further results; 1l.A. Appendices to Chapter 11; 11.A.l. Some results on the action of a compact group on a symmetric algebra; 11.A.2. Small K-types; 11.A.3. Some results on Verma modules , 11.A.4. Some functional analysisChapter 12. The Theory of the Leading Term; Introduction; 12.1. Characters of principal series representations; 12.2. The modules VQ|P,σ,iv; 12.3. The leading term; 12.4. The dependence of the leading term on parameters; 12.5. The leading term and intertwining operators; 12.6. The main inequality; 12.7. Wave packets; 12.8. The Harish-Chandra transform of a wave packet; 12.9. Notes; 12.A. Appendices to Chapter 12; 12.A.1. Traces of certain kernel operators; 12.A.2. Some inequalities; 12.A.3. The topology of induced representations , Chapter 13. The Harish-Chandra Plancherel TheoremIntroduction; 13.1. The Eisenstein integral; 13.2. The leading terms of Eisenstein integrals; 13.3. Wave packets of Eisenstein integrals; 13.4. The Harish-Chandra Plancherel theorem; 13.5. The calculation of μ(ω, υ) for the fundamental series; 13.6. The intertwining algebra of Ip,σ,iv and the irreducibility of the fundamental series; 13.7. Groups with one conjugacy class of Cartan subgroup; 13.8. The Plancherel theorem for L2(G/K); 13.9. Notes and further results; Chapter 14. Abstract Representation Theory; Introduction , 14.1. The basic theory of C* algebras14.2. The C* algebra of a locally compact group; 14.3. Quotients of C* algebras; 14.4. Density theorems; 14.5. Representations of C* algebras and positive functionals; 14.6. The topology on the unitary dual of a C* algebra; 14.7. The topology on the unitary dual of a locally compact group; 14.8. Direct integrals and Von Neumann algebras; 14.9. Direct integrals of representations of C* algebras and locally compact groups; 14.10. Decompositions of representations of CCR C* algebras and locally compact groups , 14.11. The Plancherel formula for CCR locally compact, unimodular groups
    Additional Edition: ISBN 0127329617
    Additional Edition: Erscheint auch als Druck-Ausgabe Wallach, Nolan R Real reductive groups II Boston : Academic Press, c1992
    Language: English
    Keywords: Electronic books ; Electronic books
    URL: lizenzpflichtig
    URL: Volltext
    URL: lizenzpflichtig
    URL: Inhaltstext
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  • 10
    Online Resource
    Online Resource
    Real reductive groups I (1988)
    Boston : Academic Press
    Details
    UID:
    gbv_1655655434
    Format: Online Ressource (xix, 412 pages)
    Edition: Online-Ausg.
    ISBN: 9780127329604
    Series Statement: Pure and applied mathematics v. 132, pt. 1
    Content: Elementary representation theory -- Real reductive group -- Basic theory of (g, K)-modules -- Asymptotic behavior of matrix coefficients -- Langlands classification -- Construction of the fundamental series --Cusp forms on G -- Character theory -- Unitary representations and (g, K)-Cohomology.
    Content: Real Productive Groups I
    Note: Includes bibliographical references and index. - Print version record , Elementary representation theoryReal reductive group -- Basic theory of (g, K)-modules -- Asymptotic behavior of matrix coefficients -- Langlands classification -- Construction of the fundamental series --Cusp forms on G -- Character theory -- Unitary representations and (g, K)-Cohomology. , English
    Additional Edition: ISBN 1281767670
    Additional Edition: ISBN 9781281767677
    Additional Edition: ISBN 9786611767679
    Additional Edition: ISBN 6611767673
    Additional Edition: ISBN 0080874517
    Additional Edition: ISBN 9780080874517
    Additional Edition: ISBN 9780127329604
    Additional Edition: ISBN 0127329609
    Additional Edition: ISBN 0127329609
    Additional Edition: ISBN 9780127329604
    Additional Edition: Erscheint auch als Druck-Ausgabe Wallach, Nolan R Real reductive groups I Boston : Academic Press, ©1988
    Language: English
    Keywords: Electronic books ; Electronic books
    URL: lizenzpflichtig
    URL: Volltext
    URL: lizenzpflichtig
    URL: Inhaltstext
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