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Clifford algebras obtained by twisting of group algebras

โœ Scribed by Helena Albuquerque; Shahn Majid

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
144 KB
Volume
171
Category
Article
ISSN
0022-4049

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โœฆ Synopsis

We investigate the construction and properties of Cli ord algebras by a similar manner as our previous construction of the octonions, namely as a twisting of group algebras of Z n 2 by a cocycle. Our approach is more general than the usual one based on generators and relations. We obtain, in particular, the periodicity properties and a new construction of spinors in terms of left and right multiplication in the Cli ord algebra.

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