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arXiv · 1902.10627

Mixed cohomology of Lie superalgebras

Yucai Su·R. B. Zhang
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Abstract

We investigate a new cohomology of Lie superalgebras, which may be compared to a de Rham cohomology of Lie supergroups involving both differential and integral forms. It is defined by a BRST complex of Lie superalgebra modules, which is formulated in terms of a Weyl superalgebra and incorporates inequivalent representations of the bosonic Weyl subalgebra. The new cohomology includes the standard Lie superalgebra cohomology as a special case. Examples of new cohomology groups are computed.

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Yucai Su, R. B. Zhang. 2019-02-26. Mixed cohomology of Lie superalgebras. https://arxiv.org/abs/1902.10627

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