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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | https://arxiv.org/abs/2411.00812 |
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| _version_ | 1866909456320692224 |
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| author | Alhussein, Hassan Kolesnikov, Pavel Lopatkin, Viktor |
| author_facet | Alhussein, Hassan Kolesnikov, Pavel Lopatkin, Viktor |
| contents | 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 Gröbner--Shirshov basis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00812 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hochschild cohomology of the universal associative conformal envelope of the Virasoro Lie conformal algebra with coefficients in all finite modules Alhussein, Hassan Kolesnikov, Pavel Lopatkin, Viktor Rings and Algebras 16E40 (primary), 81T05, 17A30, 17B55, 17A61 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 Gröbner--Shirshov basis. |
| title | Hochschild cohomology of the universal associative conformal envelope of the Virasoro Lie conformal algebra with coefficients in all finite modules |
| topic | Rings and Algebras 16E40 (primary), 81T05, 17A30, 17B55, 17A61 |
| url | https://arxiv.org/abs/2411.00812 |