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Idempotents of Clifford Algebras

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Czechoslovak Journal of Physics Aims and scope

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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Authors and Affiliations

  1. Department of Mathematics, Tennessee Technological University, Box 5054, Cookeville, TN, 38505, U.S.A.

    R. Abłamowicz

  2. Fachbereich Physik, Universität Konstanz, Fach M 678, 78452, Konstanz, Germany

    B. Fauser

  3. Department of Theoretical Physics, University of Łódź, Pomorska 149/153, 90-236, Łódź, Poland

    K. Podlaski & J. Rembieliński

Authors
  1. R. Abłamowicz
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  2. B. Fauser
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  3. K. Podlaski
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  4. J. Rembieliński
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Abłamowicz, R., Fauser, B., Podlaski, K. et al. Idempotents of Clifford Algebras. Czechoslovak Journal of Physics 53, 949–954 (2003). https://doi.org/10.1023/B:CJOP.0000010517.40303.67

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  • DOI: https://doi.org/10.1023/B:CJOP.0000010517.40303.67

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