Clifford algebras and the classical groups
Ian R. Porteous
Cambridge University Press
9780521551779
0-521-55177-3
This book reflects the growing interest in the theory of Clifford algebras and their applications. The author has reworked his previous book on this subject, Topological Geometry, and has expanded and added material to bring the theory of Clifford algebras to the fore. As in the previous version, an exhaustive treatment of all the generalisations of the classical groups is included, and the author gives an excellent exposition of the classification of the conjugation anti- involution of the Clifford algebras and their complexifications. Towards the end of the book, ideas from the theory of Lie groups and Lie algebras are introduced.This is a treatment of the theory of Clifford algebras that will be welcomed for its clarity and detail.