Clifford algebras and the classical groups (Book, 1995) []
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Clifford algebras and the classical groups

Author: Ian R Porteous
Publisher: Cambridge : Cambridge University Press, 1995.
Series: Cambridge studies in advanced mathematics, 50.
Edition/Format:   Print book : EnglishView all editions and formats

Here, Ian Porteous has reworked his previous book on this subject, Topological Geometry, and has expanded and added material to bring the theory of Clifford algebras to the fore. This treatment of  Read more...


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Document Type: Book
All Authors / Contributors: Ian R Porteous
ISBN: 0521551773 9780521551779
OCLC Number: 637064030
Description: x, 295 p. ; 24 cm.
Contents: 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.
Series Title: Cambridge studies in advanced mathematics, 50.
Responsibility: Ian R. Porteous.


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Review of the hardback: 'This book covers material which you would hardly find in such a compact form elsewhere. It is very pleasant to have all these things together and so nicely arranged.' Read more...

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