Clifford algebras and the classical groups
by Ian R. Porteous
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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.
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Group theory, Clifford algebras, Algebras, linear| Edition | Availability |
|---|---|
1
Clifford Algebras and the Classical Groups
2011, Cambridge University Press
in English
0511835426 9780511835421
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2
Clifford Algebras and the Classical Groups
2009, Cambridge University Press
in English
0521118026 9780521118026
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3
Clifford Algebras and the Classical Groups
2009, Cambridge University Press
in English
0511470916 9780511470912
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4
Clifford algebras and the classical groups
1995, Cambridge University Press
in English
0521551773 9780521551779
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Book Details
Edition Notes
Includes bibliographical references (p. 285-288) and index.
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| July 11, 2024 | Edited by MARC Bot | import existing book |
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