Clifford algebras and the classical groups

Author:Ian R. Porteous

Summary: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 the theory of Clifford algebras will be welcomed for its clarity and detail.

Print Book, English, 1995

Edition:View all formats and editions

Publisher: Cambridge University Press, Cambridge, 1995

Series:

Cambridge studies in advanced mathematics, 50

Physical Description:x, 295 p. ; 24 cm.

ISBN:

9780521551779, 0521551773

OCLC Number / Unique Identifier:637064030

Subjects:

Algebras de grupos

Álgebras de Clifford

Clifford, Algebras de

Formas cuadráticas

Teoría de grupos

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.