Hochschild cohomology of the universal associative conformal envelope of the Virasoro Lie conformal algebra with coefficients in all finite modules Full article
| Journal |
Communications in Mathematics
ISSN: 1804-1388 , E-ISSN: 2336-1298 |
||||||
|---|---|---|---|---|---|---|---|
| Output data | Year: 2025, Volume: 33, Number: 3, Article number : 7, Pages count : 54 DOI: 10.46298/cm.14674 | ||||||
| Tags | Conformal algebra, Hochschild cohomology, Gr¨obner–Shirshov, Anick resolution, Algebraic Discrete Morse Theory | ||||||
| Authors |
|
||||||
| Affiliations |
|
Funding (1)
| 1 | Russian Science Foundation | 23-21-00504 |
Abstract:
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.
Cite:
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
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
Dates:
| Submitted: | Nov 5, 2024 |
| Accepted: | Nov 8, 2024 |
| Published online: | Jan 9, 2025 |
Identifiers:
| ≡ Scopus: | 2-s2.0-85216771818 |
| ≡ Elibrary: | 80885218 |
| ≡ OpenAlex: | W4406217820 |