Representations of exceptional simple alternative superalgebras of characteristic 3

López-Díaz, M.; Shestakov, Ivan

doi:10.1090/S0002-9947-02-02993-8

Representations of exceptional simple alternative superalgebras of characteristic 3
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by M. C. López-Díaz and Ivan P. Shestakov

Trans. Amer. Math. Soc. 354 (2002), 2745-2758

DOI: https://doi.org/10.1090/S0002-9947-02-02993-8

Published electronically: March 7, 2002

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Abstract:

We study representations of simple alternative superalgebras $B(1,2)$ and $B(2,4)$. The irreducible bimodules and bimodules with superinvolution over these superalgebras are classified, and some analogues of the Kronecker factorization theorem are proved for alternative superalgebras that contain $B(1,2)$ and $B(4,2)$.

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