On the Hochschild cohomology of universal enveloping associative conformal algebras | Sciact - Система учета научной деятельности ИМ СО РАН

On the Hochschild cohomology of universal enveloping associative conformal algebras Научная публикация

Журнал

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

Вых. Данные

Год: 2021, Том: 62, Номер: 12, Номер статьи : 121701, Страниц : 9 DOI: 10.1063/5.0065581

Авторы

Alhussein H. ^1,3 , Kolesnikov P. ²

Организации

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

Поступила в редакцию:	3 авг. 2021 г.
Принята к публикации:	19 нояб. 2021 г.
Опубликована online:	9 дек. 2021 г.

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

БД	Цитирований
Scopus	3
OpenAlex	3
Web of science	3