Vertex operator algebras and irreducibility of certain modules for affine Lie algebras

被引：1
|
作者：
Adamovic, D [1 ]
机构：
[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia
来源：
MATHEMATICAL RESEARCH LETTERS | 1997年 / 4卷 / 06期
关键词：
affine Lie algebra; vertex operator algebra; Zhu's algebra; tensor products; loop modules; admissible representations;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find the connection between the representation theory of vertex operator algebra L(k Lambda(0)) and the irreducibility of tensor products <(V(mu))over bar>xL(k Lambda(0)). In the case of affine Lie algebra A(1)((1)), on every admissible rational level we construct a family of irreducible modules having infinite-dimensional weight spaces.
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页码：809 / 821
页数：13
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