Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules-Reference-Cited by-同舟云学术

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

Published:2023-04-01 Issue:4 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Alhussein H.¹²^ORCID,Kolesnikov P.³⁴^ORCID

Affiliation:

1. Siberian State University of Telecommunication and Informatics 1 , Novosibirsk, Russia and , Novosibirsk, Russia

2. Novosibirsk State University of Economics and Management 1 , Novosibirsk, Russia and , Novosibirsk, Russia

3. Sobolev Institute of Mathematics 2 , Novosibirsk, Russia and , Moscow, Russia

4. Higher School of Economics 2 , Novosibirsk, Russia and , Moscow, Russia

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.

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0146223/16826047/041701_1_5.0146223.pdf

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