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arXiv · 2210.16585

Gelfand-Fuchs cohomology for affine superspaces A^(n,1)

Slava Pimenov
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Abstract

We study the cohomology of Lie superalgebra of vector fields on affine super-spaces $\mathbb{A}^{m,n}$ with trivial coefficients. Previously known results covered the classical case $\mathbb{A}^m = \mathbb{A}^{m,0}$ as well as the case $\mathbb{A}^{m,n}$ with $m \leq n$. In this paper we perform the computation for super-spaces $\mathbb{A}^{m,1}$.

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Slava Pimenov. 2022-10-29. Gelfand-Fuchs cohomology for affine superspaces A^(n,1). https://arxiv.org/abs/2210.16585

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