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  1. Home
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  3. Clifford Algebras and the Classical Groups
  • Cited by 267
Publisher:
Cambridge University Press
Online publication date:
September 2009
Print publication year:
1995
Online ISBN:
9780511470912
DOI:
https://doi.org/10.1017/CBO9780511470912
Subjects:
Mathematics (general), Mathematics, Real and Complex Analysis, Algebra
Series:
Cambridge Studies in Advanced Mathematics (50)
Information

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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