Certain associative algebras similar to $U(sl_{2})$ and Zhu's algebra $A(V_{L})$

Chongying Dong; Haisheng Li; Geoffrey Mason

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Certain associative algebras similar to $U(sl_{2})$ and Zhu's algebra $A(V_{L})$

Chongying Dong·Haisheng Li·Geoffrey Mason

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Abstract

It is proved that Zhu's algebra for vertex operator algebra associated to a positive-definite even lattice of rank one is a finite-dimensional semiprimitive quotient algebra of certain associative algebra introduced by Smith. Zhu's algebra for vertex operator algebra associated to any positive-definite even lattice is also calculated and is related to a generalization of Smith's algebra.

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BibTeX RIS

Chongying Dong, Haisheng Li, Geoffrey Mason. 1996-05-21. Certain associative algebras similar to $U(sl_{2})$ and Zhu's algebra $A(V_{L})$. https://arxiv.org/abs/q-alg/9605032

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