Idempotents of Clifford Algebras
数学物理
2009-11-10 v1 math.MP
环与代数
摘要
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.
引用
@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}
}