Idempotents of Clifford Algebras

Details Idempotents of Clifford Algebras Idempotents of Clifford Algebras

2003-12-04

arxiv.org/abs/math-ph/0312015v1

Czech. J. Phys. 53, 11 (2003) 949

Physics

Mathematical Physics

Scientific paper

10.1023/B:CJOP.0000010517.40303.

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.

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