Clifford Algebras and the Classical Groups
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- Publisher:
- Cambridge University Press
- Publication date:
- 22 September 2009
- 05 October 1995
- ISBN:
- 9780511470912
- 9780521551779
- 9780521118026
- Dimensions:
- (228 x 152 mm)
- Weight & Pages:
- 0.555kg, 308 Pages
- Dimensions:
- (229 x 152 mm)
- Weight & Pages:
- 0.46kg, 308 Pages
- Subjects:
- Mathematics (general), Mathematics, Real and Complex Analysis, Algebra
- Series:
- Cambridge Studies in Advanced Mathematics (50)
You may already have access via personal or institutional login- Subjects:
- Mathematics (general), Mathematics, Real and Complex Analysis, Algebra
- Series:
- Cambridge Studies in Advanced Mathematics (50)
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Book 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.
Reviews
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.’
Source: European Mathematical Society Journal
Review of the hardback:‘Plenty of examples make Porteous's book pleasant to read.’
Source: Mathematica
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