On Simple Completely Reducible Binary-Lie Superalgebras over sl2(F) ()
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ABSTRACT
In this article, we prove that if B is a simple binary-Lie superalgebra whose even part is isomorphic to sl2(F) and whose odd part is a completely reducible binary-Lie-module over the even part, then B is a Lie superalgebra. We introduce also a binary-Lie module over which is sl2(F) not completely reducible.
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