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

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

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 th...

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Veröffentlicht in:Journal of mathematical physics 2023-04, Vol.64 (4)
Hauptverfasser: Alhussein, H., Kolesnikov, P.
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Algebra
Homology
Modules
Physics
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description 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.
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source AIP Journals Complete; Alma/SFX Local Collection
subjects Algebra
Homology
Modules
Physics
title Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules
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