Clifford algebras and the classical groups
By: Ian R. Porteous.
Series: Cambridge studies in advanced mathematics ;; 50
Publisher: Cambridge University Press
Published: 1995
Place of publication: Cambridge; New York
Language: eng
Number of pages: 295
Subjects: Clifford algebras.; Group theory.
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 G[subscript 2], 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.
Notes: Includes bibliographical references (p. 285-288) and index.