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δ-Derivations of simple finite-dimensional Jordan superalgebras

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Abstract

We describe non-trivial δ-derivations of semisimple finite-dimensional Jordan algebras over an algebraically closed field of characteristic not 2, and of simple finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic 0. For these classes of algebras and superalgebras, non-zero δ-derivations are shown to be missing for δ ≠ 0, 1/2, 1, and we give a complete account of 1/2-derivations.

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Authors and Affiliations

  1. Novosibirsk State University, Russia

    N. B. Kaygorodov

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  1. N. B. Kaygorodov
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Correspondence to N. B. Kaygorodov.

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Supported by RFBR grant No. 05-01-00230 and by RF Ministry of Education and Science grant No. 11617.

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Translated from Algebra i Logika, Vol. 46, No. 5, pp. 585–605, September–October, 2007.

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Kaygorodov, N.B. δ-Derivations of simple finite-dimensional Jordan superalgebras. Algebra Logic 46, 318–329 (2007). https://doi.org/10.1007/s10469-007-0032-0

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  • DOI: https://doi.org/10.1007/s10469-007-0032-0

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