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The Gröbner–Shirshov bases method for vertex algebras Full article

Journal Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795
Output data Year: 2026, Volume: 296, Number: 2, Pages: 217-230 Pages count : 14 DOI: 10.1007/s10958-026-08246-0
Authors Kozlov R.A. 1,2 , Kolesnikov P.S. 2
Affiliations
1 Novosibirsk State University, Novosibirsk, Russia
2 Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russia

Funding (1)

1 Russian Science Foundation 21-11-00286

Abstract: In the paper, we show how to apply the Gröbner–Shirshov bases method for modules over an associative algebra to the study of vertex algebras defined by generators and relations. We compute Gröbner–Shirshov bases for a series of vertex algebras and study the problem of embedding of a left symmetric algebra into a vertex one preserving the normally ordered product.
Cite: Kozlov R.A. , Kolesnikov P.S.
The Gröbner–Shirshov bases method for vertex algebras
Journal of Mathematical Sciences (United States). 2026. V.296. N2. P.217-230. DOI: 10.1007/s10958-026-08246-0 OpenAlex
Dates:
Published online: Feb 18, 2026
Identifiers:
OpenAlex: W7130349608
Citing: Пока нет цитирований
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