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Irreductible Representations of the Simple Jordan Superalgebra of Grassmann Poisson bracket by Solarte, Olmer Folleco; Shestakov, Ivan is a scholarly article available to read on EtoBox.

What is Irreductible Representations of the Simple Jordan Superalgebra of Grassmann Poisson bracket about?

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.}

Author

Solarte, Olmer Folleco; Shestakov, Ivan

Published

2015

Language

EN