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Clifford Algebras and the Classical Groups by Ian R. Porteous
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Clifford Algebras and the Classical Groups

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Description

The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately relevant to theoretical physics are seen in the proper broad context. Central to the work is the classification of the conjugation and reversion anti-involutions that arise naturally in the theory. It is of interest that all the classical groups play essential roles in this classification. Other features include detailed sections on conformal groups, the eight-dimensional non-associative Cayley algebra, its automorphism group, the exceptional Lie group G2, and the triality automorphism of Spin 8. The book is designed to be suitable for the last year of an undergraduate course or the first year of a postgraduate course.
Release date NZ
August 6th, 2009
Audience
  • Professional & Vocational
Pages
308
Dimensions
152x229x18
ISBN-13
9780521118026
Product ID
3165938

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