Idempotents of Clifford Algebras
Mathematical Physics
2009-11-10 v1 math.MP
Rings and Algebras
Abstract
A classification of idempotents in Clifford algebras C(p,q) is presented. It is shown that using isomorphisms between Clifford algebras C(p,q) and appropriate matrix rings, it is possible to classify idempotents in any Clifford algebra into continuous families. These families include primitive idempotents used to generate minimal one sided ideals in Clifford algebras. Some low dimensional examples are discussed.
Cite
@article{arxiv.math-ph/0312015,
title = {Idempotents of Clifford Algebras},
author = {R. Ablamowicz and B. Fauser and K. Podlaski and J. Rembielinski},
journal= {arXiv preprint arXiv:math-ph/0312015},
year = {2009}
}