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Clifford Algebras and the Classical Groups
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Clifford Algebras and the Classical Groups

Book Details

Format Hardback or Cased Book
ISBN-10 0521551773
ISBN-13 9780521551779
Publisher Cambridge University Press
Imprint Cambridge University Press
Country of Manufacture GB
Country of Publication GB
Publication Date Oct 5th, 1995
Print length 308 Pages
Weight 648 grams
Dimensions 16.20 x 23.60 x 2.50 cms
Product Classification: Algebra
Ksh 21,800.00
Manufactured on Demand 0 in stock

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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.
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.

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