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Hochschild cohomology of the algebra of conformal endomorphisms

2023/06/05 by H. Alhussein, Alhussein, H., P. Kolesnikov +1
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2306.02643

Abstract

We prove that all Hochschild cohomology groups of the associative conformal algebra of conformal endomorphisms Cendk with coefficients in an arbitrary conformal bimodule M are trivial starting from the dimension 2, i.e., Hn(Cendk, M) = 0 for n≥ 2.

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