CLIFFORD ALGEBRAS AND THE CLASSICAL GROUPS by Ian R. Porteous ( 9780511470912 )

Item Details

Title:

CLIFFORD ALGEBRAS AND THE CLASSICAL GROUPS

By:

Format:

Electronic book text

List price:	£85.00
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ISBN 10:

0511470916

ISBN 13:

9780511470912

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

22 September, 2009

Series:

Cambridge Studies in Advanced Mathematics 50

Description:

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

Synopsis:

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.

Publication:

Imprint:

Cambridge University Press (Virtual Publishing)

Returns:

Non-returnable

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