On the Hochschild cohomology of universal enveloping associative conformal algebras

On the Hochschild cohomology of universal enveloping associative conformal algebras Full article

Journal

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

Output data

Year: 2021, Volume: 62, Number: 12, Article number : 121701, Pages count : 9 DOI: 10.1063/5.0065581

Authors

Alhussein H. ^1,3 , Kolesnikov P. ²

Affiliations

1	Novosibirsk State University of Economics and Management, Novosibirsk, Russian Federation
2	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
3	Novosibirsk State University, Novosibirsk, Russian Federation

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.

Alhussein H. , Kolesnikov P.
On the Hochschild cohomology of universal enveloping associative conformal algebras
Journal of Mathematical Physics. 2021. V.62. N12. 121701 :1-9. DOI: 10.1063/5.0065581 WOS Scopus OpenAlex

Submitted:	Aug 3, 2021
Accepted:	Nov 19, 2021
Published online:	Dec 9, 2021

Web of science:	WOS:000729354700001
Scopus:	2-s2.0-85121113153
OpenAlex:	W4200238185

DB	Citing
Scopus	3
OpenAlex	3
Web of science	3