Clifford algebras obtained by twisting of group algebras
Quantum Algebra
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.math/0011040,
title = {Clifford algebras obtained by twisting of group algebras},
author = {H. Albuquerque and S. Majid},
journal= {arXiv preprint arXiv:math/0011040},
year = {2007}
}
Comments
16 pages latex, no figures