Jordan super algebras of type $J{P}_n$, $n\ge 3$ and the Wedderburn principal theorem

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 $J/N\cong J{P}_n$, $n\ge 3$. We consider $N$ as an irreducible $J{P}_n$-bimodule and we prove that the WPT holds for $J$.

12 pages