Hassan Alhussein ; Pavel Kolesnikov ; Viktor Lopatkin
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Hochschild cohomology of the universal associative conformal envelope of
the Virasoro Lie conformal algebra with coefficients in all finite modules
cm:14674 -
Communications in Mathematics,
January 9, 2025,
Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar)
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https://doi.org/10.46298/cm.14674Hochschild cohomology of the universal associative conformal envelope of
the Virasoro Lie conformal algebra with coefficients in all finite modulesArticle
Authors: Hassan Alhussein ; Pavel Kolesnikov ; Viktor Lopatkin
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Hassan Alhussein;Pavel Kolesnikov;Viktor Lopatkin
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.
Comment: arXiv admin note: text overlap with arXiv:2212.13134
Volume: Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar)
Published on: January 9, 2025
Accepted on: November 8, 2024
Submitted on: November 5, 2024
Keywords: Mathematics - Rings and Algebras, 16E40 (primary), 81T05, 17A30, 17B55, 17A61