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Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules

Journal of Mathematical Physics. 2023. Vol. 64. No. 4. Article 041701.
Алхуссейн Х.

In this work, we find Hochschild cohomology groups of the Weyl associative conformal algebra with coefficients in all finite modules. The Weyl conformal algebra is the universal associative conformal envelope of the Virasoro Lie conformal algebra relative to the locality N = 2. In order to obtain this result, we adjust the algebraic discrete Morse theory to the case of differential algebras.

Language: English
DOI
Keywords: Hochschild cohomologyconformal algebra
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