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

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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… Click to show full abstract

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.

Keywords: finite modules; coefficients finite; conformal algebra; hochschild cohomology; algebra; algebra coefficients

Journal Title: Journal of Mathematical Physics
Year Published: 2022

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