Certain associative algebras similar to U(sl(2)) and Zhu's algebra A(V-L)

被引：18

作者：

Dong, CY

Li, HS

Mason, G

机构：

[1] Department of Mathematics, University of California, Santa Cruz

[2] Department of Mathematical Science, Rutgers University, Camden

来源：

JOURNAL OF ALGEBRA | 1997年 / 196卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jabr.1997.7112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that Zhu's algebra for the vertex operator algebra associated to a positive-definite even lattice of rank one is a finite-dimensional semiprimitive quotient algebra of a certain associative algebra introduced by Smith. Zhu's algebra for the vertex operator algebra associated to any positive-definite even lattice is also calculated and is related to a generalization of Smith's algebra. (C) 1997 Academic Press.

引用

页码：532 / 551

页数：20

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