Clifford Algebras and the Classical Groups by Ian R. Porteous
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Clifford Algebras and the Classical Groups
By Ian R. Porteous

Clifford Algebras and the Classical Groups

By (author) See other recent books by Ian R. Porteous
Series edited by Bela Bollobas See other recent books by Bela Bollobas See other recent books by W. Fulton
Format: Hardback

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Clifford Algebras and the Classical Groups by Ian R. Porteous

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.

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Book Details

ISBN: 9780521551779
ISBN-10: 0521551773
Format: Hardback
(228mm x 152mm x 21mm)
Pages: 308
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 5-Oct-1995
Country of Publication: United Kingdom

Other Editions...


Books By Author Ian R. Porteous

Clifford Algebras and the Classical Groups by Ian R. Porteous Clifford Algebras and the Classical Groups, Paperback (August 2009)

A treatment of the theory of Clifford algebras that will be welcomed for its clarity and detail.

Geometric Differentiation by Ian R. Porteous Geometric Differentiation, Hardback (December 2001)

This is a revised version of the popular Geometric Differentiation, first edition.

Topological Geometry by Ian R. Porteous Topological Geometry, Paperback (February 1981)

Provides a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place.

» View all books by Ian R. Porteous

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