R. A. Kozlov, P. S. Kolesnikov, “The Gröbner–Shirshov bases method for vertex algebras”, Fundam. Prikl. Mat., 25:1 (2024), 103

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Fundamentalnaya i Prikladnaya Matematika, 2024, Volume 25, Issue 1, Pages 103–122 (Mi fpm1962)

This article is cited in 3 scientific papers (total in 3 papers)

The Gröbner–Shirshov bases method for vertex algebras

R. A. Kozlov^ab, P. S. Kolesnikov^a

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

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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.

Funding agency	Grant number
Russian Science Foundation	21-11-00286

Document Type: Article

UDC: 512.553

Language: Russian

Citation: R. A. Kozlov, P. S. Kolesnikov, “The Gröbner–Shirshov bases method for vertex algebras”, Fundam. Prikl. Mat., 25:1 (2024), 103–122

Citation in format AMSBIB

\Bibitem{KozKol24}

\by R.~A.~Kozlov, P.~S.~Kolesnikov

\paper The Gr\"obner--Shirshov bases method for vertex algebras

\jour Fundam. Prikl. Mat.

\yr 2024

\vol 25

\issue 1

\pages 103--122

\mathnet{http://mi.mathnet.ru/fpm1962}

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https://www.mathnet.ru/eng/fpm/v25/i1/p103

This publication is cited in the following 3 articles:

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