A generalization of intertwining operators for vertex operator algebras

被引：0
作者：
Tanabe, Kenichiro [1 ]
机构：
[1] Hokkaido Univ, Dept Math, Kita Ku, Kita 10,Nishi 8, Sapporo, Hokkaido 0600810, Japan
来源：
JOURNAL OF ALGEBRA | 2017年 / 491卷
关键词：
Vertex operator algebras; Intertwining operators; N-graded weak modules; Zhu algebras; FUSION RULES; AUTOMORPHISM; REPRESENTATIONS; ORBIFOLD; MODULES;
D O I：
10.1016/j.jalgebra.2017.08.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a vertex operator algebra V, we generalize the notion of an intertwining operator among an arbitrary triple of V-modules to an arbitrary triple of N-graded weak V-modules and study their properties. We show a formula for the dimensions of the spaces of these intertwining operators in terms of modules over the Zhu algebras under some conditions on N-graded weak modules. (C) 2017 Elsevier Inc. All rights reserved.
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页码：372 / 401
页数：30
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