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arXiv · 2306.02643

Hochschild cohomology of the algebra of conformal endomorphisms

H. Alhussein·P. Kolesnikov
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Abstract

We prove that all Hochschild cohomology groups of the associative conformal algebra of conformal endomorphisms $\mathrm{Cend}_k$ with coefficients in an arbitrary conformal bimodule $M$ are trivial starting from the dimension 2, i.e., $H^n(\mathrm{Cend}_k, M) = 0$ for $n\ge 2$.

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BibTeXRIS

H. Alhussein, P. Kolesnikov. 2023-06-05. Hochschild cohomology of the algebra of conformal endomorphisms. https://arxiv.org/abs/2306.02643

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