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arXiv · 1709.10165

Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem (WPT)

F. A. Gómez González·R. Velásquez
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Abstract

An analogue of the Wedderbur principal theorem (WPT) is considered for finite dimensional Jordan superalgebras A with solvable radical N, such that N^2=0 and A/N is isomorphic to Josp_n|2m(F), where F is an algebraicallly closed field of characteristic zero. Let's we prove that the WPT is valid under some restrictions over the irreducible Josp_n|2m(F)-bimodules contained in N, and it is shown with counter-examples that these restrictions can not be weakened.

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F. A. Gómez González, R. Velásquez. 2017-09-28. Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem (WPT). https://arxiv.org/abs/1709.10165

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