Abstract

ABSTRACT Representations of simple Jordan superalgebras of Hermitian 3 × 3 matrices over the exceptional simple alternative superalgebras B (1,2) and B (4,2) of characteristic 3 are studied. Every irreducible bimodule over these superalgebras up to isomorphism is either a regular bimodule or its opposite. As corollaries,some analogues of the Kronecker factorization theorem are proved for Jordan superalgebras that contain H3(B (1,2)) and H3(B(4,2)).

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