Kooperativer Bibliotheksverbund

UID:

Umfang: 1 online resource (ix, 338 pages) : , digital, PDF file(s).

Ausgabe: Second edition.

ISBN: 9780511526022 (ebook)

Serie: London Mathematical Society lecture note series ; 286

Inhalt: In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This book also gives the first comprehensive survey of recent research on Clifford algebras. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing between the Weyl, Majorana and Dirac spinors. Scalar products of spinors are classified by involutory anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups of scalar products of spinors. On the analytic side, Brauer-Wall groups and Witt rings are discussed, and Caucy's integral formula is generalized to higher dimensions.

Anmerkung: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , Vectors and linear spaces -- , Complex numbers -- , Bivectors and the exterior algebras -- , Pauli spin matrices and spinors -- , Quaternions -- , Fourth dimension -- , Cross product -- , Elecromagnetism -- , Lorentz transformations -- , Dirac equation -- , Fierz identities and boomerangs -- , Flags, poles and dipoles -- , Tilt to the opposite metric -- , Definitions of the clifford algebra -- , Witt rings and brauer groups -- , Matrix representations and periodicity of 8 -- , Spin groups and spinor spaces -- , Scalar products of spinors and the chessboard -- , Möbius transformations and vahlen matrices -- , Hypercomplex analysis -- , Binary index sets and walsh functions -- , Chevalley's construction and characteristic 2 -- , Octonions and triality.

Weitere Ausg.: Print version: ISBN 9780521005517

Sprache: Englisch

URL: https://doi.org/10.1017/CBO9780511526022

URL: Volltext

URL: Inhaltstext

UID:

Umfang: IX, 338 S , graph. Darst , 23 cm

Ausgabe: 2. ed., repr

ISBN: 0521005515 , 9780521005517

Serie: London Mathematical Society lecture note series 286

Anmerkung: Previous ed.: 1997 , Hier auch später erschienene, unveränderte Nachdrucke , Literaturangaben

Sprache: Englisch

Schlagwort(e): Clifford-Algebra ; Spinor

UID:

Umfang: IX, 338 S.

Ausgabe: 2. ed., reprint., transferred to digital printing

ISBN: 0521005515 , 9780521005517

Serie: London Mathematical Society lecture note series 286

Sprache: Englisch

Fachgebiete: Mathematik

Schlagwort(e): Clifford-Algebra ; Spinoranalysis ; Clifford-Algebra ; Spinor

UID:

Umfang: IX, 338 S. , graph. Darst.

Ausgabe: 2. ed., reprint.

ISBN: 0521005515

Serie: London Mathematical Society lecture note series 286

Sprache: Englisch

Fachgebiete: Mathematik

Schlagwort(e): Clifford-Algebra ; Spinor ; Clifford-Algebra ; Spinoranalysis

UID:

Umfang: IX, 338 S.

Ausgabe: 2. ed.

ISBN: 0-521-00551-5

Serie: London Mathematical Society lecture note series 286

Sprache: Englisch

Fachgebiete: Mathematik

Schlagwort(e): Clifford-Algebra ; Spinor ; Clifford-Algebra ; Spinoranalysis

UID:

Umfang: 1 online resource (ix, 338 pages) : , digital, PDF file(s).

Ausgabe: 2nd ed.

ISBN: 1-139-88354-2 , 1-107-36564-3 , 1-107-37038-8 , 1-107-36073-0 , 1-107-36983-5 , 1-299-40346-8 , 1-107-36318-7 , 0-511-52602-4

Serie: London Mathematical Society lecture note series ; 286

Inhalt: In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This book also gives the first comprehensive survey of recent research on Clifford algebras. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing between the Weyl, Majorana and Dirac spinors. Scalar products of spinors are classified by involutory anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups of scalar products of spinors. On the analytic side, Brauer-Wall groups and Witt rings are discussed, and Caucy's integral formula is generalized to higher dimensions.

Anmerkung: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , Vectors and linear spaces -- , Complex numbers -- , Bivectors and the exterior algebras -- , Pauli spin matrices and spinors -- , Quaternions -- , Fourth dimension -- , Cross product -- , Elecromagnetism -- , Lorentz transformations -- , Dirac equation -- , Fierz identities and boomerangs -- , Flags, poles and dipoles -- , Tilt to the opposite metric -- , Definitions of the clifford algebra -- , Witt rings and brauer groups -- , Matrix representations and periodicity of 8 -- , Spin groups and spinor spaces -- , Scalar products of spinors and the chessboard -- , Möbius transformations and vahlen matrices -- , Hypercomplex analysis -- , Binary index sets and walsh functions -- , Chevalley's construction and characteristic 2 -- , Octonions and triality. , English

Weitere Ausg.: ISBN 0-521-00551-5

Sprache: Englisch