Clifford Algebras and Spinors
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ISBN-13:
9780521005517
Veröffentl:
2006
Einband:
Paperback
Erscheinungsdatum:
15.06.2006
Seiten:
352
Autor:
Pertti Lounesto
Gewicht:
572 g
Format:
229x152x21 mm
Sprache:
Englisch
Beschreibung:
This is the second edition of Professor Lounesto's unique introduction to Clifford algebras and spinors.
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.
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