On the Hochschild cohomology of universal enveloping associative conformal algebras

On the Hochschild cohomology of universal enveloping associative conformal algebras

We calculate the second Hochschild cohomology group with scalar coefficients for the universal enveloping associative conformal algebra of the Virasoro conformal algebra relative to the locality N = 3 on the generator. For the associative conformal envelope corresponding to smaller locality N = 2, i...

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Veröffentlicht in:Journal of mathematical physics 2021-12, Vol.62 (12)
Hauptverfasser: Alhussein, H., Kolesnikov, P.
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Algebra
Homology
Physics
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description We calculate the second Hochschild cohomology group with scalar coefficients for the universal enveloping associative conformal algebra of the Virasoro conformal algebra relative to the locality N = 3 on the generator. For the associative conformal envelope corresponding to smaller locality N = 2, i.e., for the Weyl conformal algebra, we show that all Hochschild cohomologies with scalar coefficients are vanishing.
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subjects Algebra
Homology
Physics
title On the Hochschild cohomology of universal enveloping associative conformal algebras
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