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arXiv · 1502.07892

Irreductible Representations of the Simple Jordan Superalgebra of Grassmann Poisson bracket

Olmer Folleco Solarte·Ivan Shestakov
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Abstract

We obtain classification of the irreducible bimodules over the Jordan superalgebra $Kan(n)$, the Kantor double of the Grassmann Poisson superalgebra $G_n$ on $n$ odd generators, for all $n \geq 2$ and an algebraically closed field of characteristic $\ne 2$. This generalizes the corresponding result of C.Mart\'inez and E.Zelmanov announced in \cite{MZ2} for $n>4$ and a field of characteristic zero.}

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Olmer Folleco Solarte, Ivan Shestakov. 2015-02-27. Irreductible Representations of the Simple Jordan Superalgebra of Grassmann Poisson bracket. https://arxiv.org/abs/1502.07892

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