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arXiv · 0907.0224

The spaces $\mathrm{H}^n(\mathfrak{osp}(1|2),M)$ for some weight modules $M$

Didier Arnal·Mabrouk Ben Ammar·Bechir Dali
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Abstract

We entirely compute the cohomology for a natural and large class of $\mathfrak{osp}(1|2)$ modules $M$. We study the restriction to the $\mathfrak{sl}(2)$ cohomology of $M$ and apply our results to the module $M={\mathfrak D}_{λ,μ}$ of differential operators on the super circle, acting on densities.

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Didier Arnal, Mabrouk Ben Ammar, Bechir Dali. 2009-07-01. The spaces $\mathrm{H}^n(\mathfrak{osp}(1|2),M)$ for some weight modules $M$. https://arxiv.org/abs/0907.0224

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