Pertti Lounesto (Helsinki Polytechnic)

Clifford Algebras and Spinors

Herausgeber: Cassels, J. W. S.; Hitchin, N. J.

• Broschiertes Buch

Produktbeschreibung

This is the second edition of Professor Lounesto's unique introduction to Clifford algebras and spinors. The author has added new material and exercises. This book will be of interest to physicists as well as mathematicians and gives the first comprehensive survey of recent research on Clifford algebras.

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Produktdetails

• London Mathematical Society Lecture Note Series
• Verlag: Cambridge University Press
• 2 Revised edition
• Seitenzahl: 352
• Erscheinungstermin: 15. Juni 2006
• Englisch
• Abmessung: 229mm x 152mm x 21mm
• Gewicht: 568g
• ISBN-13: 9780521005517
• ISBN-10: 0521005515
• Artikelnr.: 21517054

Inhaltsangabe

Preface
Mathematical notation
1. Vectors and linear spaces
2. Complex numbers
3. Bivectors and the exterior algebra
4. Pauli spin matrices and spinors
5. Quaternions
6. The fourth dimension
7. The cross product
8. Electromagnetism
9. Lorentz transformations
10. The Dirac equation
11. Fierz identities and boomerangs
12. Flags, poles and dipoles
13. Tilt to the opposite metric
14. Definitions of the Clifford algebra
15. Witt rings and Brauer groups
16. Matrix representations and periodicity of 8
17. Spin groups and spinor spaces
18. Scalar products of spinors and the chessboard
19. Möbius transformations and Vahlen matrices
20. Hypercomplex analysis
21. Binary index sets and Walsh functions
22. Chevalley's construction and characteristic 2
23. Octonions and triality
A history of Clifford algebras
Selected reading
Index.