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arXiv · 2312.01670

Groebner--Shirshov bases method for vertex algebras

R. A. Kozlov·P. S. Kolesnikov
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Abstract

In this note we show how to apply the Gr\"obner--Shirshov bases (GSB) method for modules over an associative algebra to the study of vertex algebras defined by generators and relations. We compute GSBs 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.

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R. A. Kozlov, P. S. Kolesnikov. 2023-12-04. Groebner--Shirshov bases method for vertex algebras. https://arxiv.org/abs/2312.01670

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