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.

引用

页码：809 / 821

页数：13

共 14 条

[1]

ADAMOVIC D, 1996, INT MATH RES NOTICES, V6, P253

[2]

Adamovic D, 1995, MATH RES LETT, V2, P563

[3]

[Anonymous], MEM AM MATH SOC

[4]

[Anonymous], 1993, PROGR MATH