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

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

Journal

Journal of Mathematical Physics
ISSN: 0022-2488 , E-ISSN: 1089-7658

Output data

Year: 2023, Volume: 64, Number: 4, Article number : 041701, Pages count : 17 DOI: 10.1063/5.0146223

Authors

Alhussein H. ^1,2 , Kolesnikov P. ^3,4

Affiliations

1	Siberian State University of Telecommunication and Informatics, Novosibirsk, Russian Federation
2	Novosibirsk State University of Economics and Management, Novosibirsk, Russian Federation
3	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
4	Высшая школа экономики, Москва, Россия

Funding (1)

Russian Science Foundation

23-21-00504

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.

Alhussein H. , Kolesnikov P.
Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules
Journal of Mathematical Physics. 2023. V.64. N4. 041701 :1-17. DOI: 10.1063/5.0146223 WOS Scopus РИНЦ OpenAlex

Submitted:	Feb 11, 2023
Accepted:	Mar 13, 2023
Published print:	Apr 5, 2023
Published online:	Apr 5, 2023

Web of science:	WOS:001136469400004
Scopus:	2-s2.0-85153199736
Elibrary:	62546705
OpenAlex:	W4362606339

DB	Citing
Scopus	1