Clifford Algebras and the Classical Groups
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Clifford Algebras and the Classical Groups by Ian R. Porteous
Book DescriptionThe 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 DetailsISBN: 9780521551779
(228mm x 152mm x 21mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 5-Oct-1995
Country of Publication: United Kingdom
Books By Author 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, Hardback (December 2001)
This is a revised version of the popular Geometric Differentiation, first edition.
Topological Geometry, Paperback (February 1981)» View all books by Ian R. Porteous
Provides a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place.
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