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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Algebra

• Full title: Clifford Algebras and the Classical Groups
• Author: Ian R. Porteous
• Language: English
• Binding: Hardback
• Number of pages: 308
• EAN: 9780521551779
• ISBN: 0521551773
• ID: 02034847
• Publisher: Cambridge University Press
• Weight: 648 g
• Dimensions: 162 × 236 × 25 mm
• Date of publishing: 05. October 1995

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