@ARTICLE{Roitman_combinatoricsof, author = {Michael Roitman}, title = {Combinatorics of free vertex algebras}, journal = {J. Algebra}, year = {}, pages = {0103173} }

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Abstract

This paper illustrates the combinatorial approach to vertex algebra — study of vertex algebras presented by generators and relations. A necessary ingredient of this method is the notion of free vertex algebra. Borcherds [2] was the first to note that free vertex algebras do not exist in general. The