Idempotents of Clifford Algebras

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Title:		Idempotents of Clifford Algebras
Authors:		Abłamowicz, R.; Fauser, B.; Podlaski, K.; Rembieliński, J.
Publication:		Czechoslovak Journal of Physics, vol. 53, Issue 11, p.949-954
Publication Date:		11/2003
Origin:		SPRINGER
Keywords:		Clifford algebras - idempotents
Bibliographic Code:		2003CzJPh..53..949A

Abstract

A classification of idempotents of 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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