Zhu's Algebra of a C1-cofinite Vertex Algebra

TL;DR

This paper presents a new efficient method for calculating Zhu's algebra of a C1-cofinite vertex algebra using C1-generators and relations, demonstrated through two examples.

Contribution

It introduces a practical approach to compute Zhu's algebra for C1-cofinite vertex algebras, enhancing computational techniques in the field.

Findings

Method effectively computes Zhu's algebra from C1-generators and relations

Two examples illustrate the application of the method

Simplifies calculations for C1-cofinite vertex algebras

Abstract

For a C1-cofinite vertex algebra V, we give an efficient way to calculate Zhu's algebra A(V) of V with respect to its C1-generators and relations. We use two examples to explain how this method works.