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Identities on Clifford algebras

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Abstract

We obtain some estimates of the codimensions and PI-exponent of identities on the Clifford algebras associated to a quadratic form of a given rank, find a hook where the cocharacters of Clifford algebras lie, exhibit an identity that holds on the Clifford algebras of a given rank, and describe the multilinear identities of minimal degree for the Clifford algebras of rank 1.

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Authors and Affiliations

  1. Lomonosov State University, Moscow, Russia

    A. S. Gordienko

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  1. A. S. Gordienko
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Correspondence to A. S. Gordienko.

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Original Russian Text Copyright © 2008 Gordienko A. S.

The author was supported by the Russian Foundation for Basic Research (Grant 06-01-00485).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 1, pp. 61–66, January–February, 2008.

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Gordienko, A.S. Identities on Clifford algebras. Sib Math J 49, 48–52 (2008). https://doi.org/10.1007/s11202-008-0005-0

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  • DOI: https://doi.org/10.1007/s11202-008-0005-0

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