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

2022/10/29 by Slava Pimenov, Pimenov, Slava
Mathematics · Physics and Astronomy · #17B56 (Primary) #17B66 (Secondary) #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2210.16585

openalex publication_date 2022/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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