Hochschild cohomology of the universal associative conformal envelope of the Virasoro Lie conformal algebra with coefficients in all finite modules | Sciact - Система учета научной деятельности ИМ СО РАН

Hochschild cohomology of the universal associative conformal envelope of the Virasoro Lie conformal algebra with coefficients in all finite modules Научная публикация

Журнал

Communications in Mathematics
ISSN: 1804-1388 , E-ISSN: 2336-1298

Вых. Данные

Год: 2025, Том: 33, Номер: 3, Номер статьи : 7, Страниц : 54 DOI: 10.46298/cm.14674

Ключевые слова

Conformal algebra, Hochschild cohomology, Gr¨obner–Shirshov, Anick resolution, Algebraic Discrete Morse Theory

Авторы

Alhussein Hassan ¹ , Kolesnikov Pavel ² , Lopatkin Viktor ³

Организации

1	Siberian State University of Telecommunication and Informatics , Russia
2	Sobolev Institute of Mathematics , Russia
3	HSE University, Russia

Информация о финансировании (1)

Российский научный фонд

23-21-00504

In this paper, we find the Hochschild cohomology groups of the universal associative conformal envelope U(3) of the Virasoro Lie conformal algebra with respect to associative locality N = 3 on the generator with coefficients in all finite modules. In order to obtain this result, we construct the Anick resolution via the algebraic discrete Morse theory and Gr¨obner–Shirshov basis.

Alhussein H. , Kolesnikov P. , Lopatkin V.
Hochschild cohomology of the universal associative conformal envelope of the Virasoro Lie conformal algebra with coefficients in all finite modules
Communications in Mathematics. 2025. V.33. N3. 7 :1-54. DOI: 10.46298/cm.14674 Scopus РИНЦ OpenAlex

Поступила в редакцию:	5 нояб. 2024 г.
Принята к публикации:	8 нояб. 2024 г.
Опубликована online:	9 янв. 2025 г.

≡ Scopus:	2-s2.0-85216771818
≡ РИНЦ:	80885218
≡ OpenAlex:	W4406217820