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Clifford algebras and spinors

Author: Pertti Lounesto
Publisher: Cambridge : Cambridge University Press, 2001
Series: London Mathematical Society lecture note series, 286
Edition/Format:   Print book : English : 2. edView all editions and formats
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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  Read more...

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Document Type: Book
All Authors / Contributors: Pertti Lounesto
ISBN: 0521005515 9780521005517
OCLC Number: 472320992
Description: ix, 338 s. : illustrations
Contents: 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. Moebius 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.
Series Title: London Mathematical Society lecture note series, 286
Responsibility: Pertti Lounesto

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'The author gives a concise but thorough introduction to spinors and Clifford algebras extending from the very beginning to present research ... A very recommendable book for everyone interested in Read more...

 
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