Clifford Algebras and the Classical Groups (Cambridge Studies in Advanced Mathematics)
by Ian R. Porteous, Porteous Ian R.
Category: Mathematics

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.