On Simple Completely Reducible Binary-Lie Superalgebras over sl2(F)

摘要

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.