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The analogs of Riemann and Penrose tensors on supermanifolds

Elena Poletaeva
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Abstract

The Spencer cohomology of certain graded Lie superalgebras are completely computed. This cohomology is interpreted as analogs of Riemann and Penrose tensors on supermanifolds. The results make it manifest that there is no simple generalization of Borel-Weil-Bott's theorem for Lie superalgebras.

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Elena Poletaeva. 2005-10-08. The analogs of Riemann and Penrose tensors on supermanifolds. https://arxiv.org/abs/math/0510165

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