Clifford algebras obtained by twisting of group algebras

Details Clifford algebras obtained by twisting of group algebras Clifford algebras obtained by twisting of group algebras

2000-11-07

arxiv.org/abs/math/0011040v1

Mathematics

Quantum Algebra

16 pages latex, no figures

Scientific paper

We investigate the construction and properties of Clifford algebras by a similar manner as our previous construction of the octonions, namely as a twisting of group algebras of Z_2^n 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 Clifford algebra.

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