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Algebras satisfying a Capelli identity

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Abstract

The sequence of cocharacters (c.c.s.) of a P.I. algebra is studied. We prove that an algebra satisfies a Capelli identity if, and only if, all the Young diagrams associated with its cocharacters are of a bounded height. This result is then applied to study the identities of certain P.I. algebras, includingF k .

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Authors and Affiliations

  1. Department of Pure Mathematics, The Weizmann Institute of Science, Rehovot, Israel

    Amitai Regev

  2. University of California San Diego, 92093, La Jolla, Calif., USA

    Amitai Regev

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  1. Amitai Regev
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Regev, A. Algebras satisfying a Capelli identity. Israel J. Math. 33, 149–154 (1979). https://doi.org/10.1007/BF02760555

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  • DOI: https://doi.org/10.1007/BF02760555

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