Groebner--Shirshov bases method for vertex algebras
Rings and Algebras
2023-12-05 v1
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.
Keywords
Cite
@article{arxiv.2312.01670,
title = {Groebner--Shirshov bases method for vertex algebras},
author = {R. A. Kozlov and P. S. Kolesnikov},
journal= {arXiv preprint arXiv:2312.01670},
year = {2023}
}