Homology of Lie algebra of supersymmetries and of super Poincare Lie algebra
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Homology of Lie algebra of supersymmetries and of super Poincare Lie algebra

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https://arxiv.org/pdf/1106.0335.pdf
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Abstract

We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare Lie algebra in various dimensions. We give complete answers for (non-extended) supersymmetry in all dimensions $\leq 11$. For dimensions $D=10,11$ we describe also the cohomology of reduction of supersymmetry Lie algebra to lower dimensions. Our methods can be applied to extended supersymmetry algebra.

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