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arxiv: 1011.4731 · v1 · pith:PTO3DCHInew · submitted 2010-11-22 · ✦ hep-th · math-ph· math.MP· math.RA

Homology of Lie algebra of supersymmetries

classification ✦ hep-th math-phmath.MPmath.RA
keywords algebradimensionshomologysupersupersymmetriesappliedcalculationcohomology
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We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare algebra. We discuss in detail the calculation in dimensions D=10 and D=6. Our methods can be applied to extended supersymmetry algebra and to other dimensions.

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