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arXiv · 2001.07470

Jordan super algebras of type $JP_n$, $n\geq 3$ and the Wedderburn principal theorem

F. A. Gomez Gonzalez·J. A. Ramirez Bermudez
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Abstract

We investigate an analogue to the Wedderburn Principal Theorem (WPT) for a finite-dimensional Jordan superalgebra $J$ with solvable radical $N$ such that $N^2=0$ and $J/N\cong JP_n$, $n\geq 3$. We consider $N$ as an irreducible $JP_n$-bimodule and we prove that the WPT holds for $J$.

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F. A. Gomez Gonzalez, J. A. Ramirez Bermudez. 2020-01-21. Jordan super algebras of type $JP_n$, $n\geq 3$ and the Wedderburn principal theorem. https://arxiv.org/abs/2001.07470

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