Clifford Algebras and the Classical Groups

ISBN: 9780521118026 出版年:1995 页码:307 Ian R Porteous Cambridge University Press

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内容简介

1. Linear spaces 2. Real and complex algebras 3. Exact sequences 4. Real quadratic spaces 5. The classification of quadratic spaces 6. Anti-involutions of R(n) 7. Anti-involutions of C(n) 8. Quarternions 9. Quarternionic linear spaces 10. Anti-involutions of H(n) 11. Tensor products of algebras 12. Anti-involutions of 2K(n) 13. The classical groups 14. Quadric Grassmannians 15. Clifford algebras 16. Spin groups 17. Conjugation 18. 2x2 Clifford matrices 19. The Cayley algebra 20. Topological spaces 21. Manifolds 22. Lie groups 23. Conformal groups 24. Triality.

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