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A general method of generating and classifying Clifford algebras. (English) Zbl 0601.15019

The authors analyze the relationships between the various types of Clifford algebras. They propose a systematic way of generating higher- order algebras from lower-order ones. The generation method itself and the steps that are followed in arriving at it provide some important insights into the interconnectiveness of the various Clifford algebras of different orders and signatures.
Reviewer: N.D.Sengupta

MSC:

15A66 Clifford algebras, spinors
15A90 Applications of matrix theory to physics (MSC2000)
78A25 Electromagnetic theory (general)
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
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