Indecomposable doubling for representations of the type I Lie superalgebras sl(m/n) and osp(2/2n)

Abstract

We establish that for the type I Lie superalgebras $sl(m/n)$ and $osp(2/2n)$, each Kac module admits a 1 parameter family of indecomposable double extensions. The result follows from the explicit evaluation of the $H^1$ Lie superalgebra cohomology valued in the tensor product of the module and its dual.

arXiv comment14 pages, LaTeX. Minor corrections and clarifications added. Citation added

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