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Simple Right-Alternative Superalgebras with Semisimple Even Part

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Abstract

We classify the unital finite-dimensional simple right-alternative superalgebras with semisimple even part and prove that each of these superalgebras is either a simple associative matrix Wall algebra, or a simple alternative Shestakov superalgebra, or an asymmetric double, or an abelian superalgebra of type Bn∣n, n ≥ 2, or B2∣2(v). Furthermore, we obtain a description of right-alternative superalgebras with simple even part; every such superalgebra either is simple or has the odd part with zero product.

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Authors and Affiliations

  1. Financial University Under the Government of the Russian Federation, Moscow, Russia

    S. V. Pchelintsev & O. V. Shashkov

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  1. S. V. Pchelintsev
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  2. O. V. Shashkov
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Correspondence to S. V. Pchelintsev or O. V. Shashkov.

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Russian Text © The Author(s), 2020, published in Sibirskii Matematicheskii Zhurnal, 2020, Vol. 61, No. 2, pp. 385–407.

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Pchelintsev, S.V., Shashkov, O.V. Simple Right-Alternative Superalgebras with Semisimple Even Part. Sib Math J 61, 304–321 (2020). https://doi.org/10.1134/S0037446620020135

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  • DOI: https://doi.org/10.1134/S0037446620020135

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