Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem (WPT)
Abstract
An analogue of the Wedderbur principal theorem (WPT) is considered for finite dimensional Jordan superalgebras A with solvable radical N, such that N2=0 and A/N is isomorphic to Jospn|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 Jospn|2m(F)-bimodules contained in N, and it is shown with counter-examples that these restrictions can not be weakened.
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