Bimodule and twisted representation of vertex operator algebras

被引：0

作者：

JIANG QiFen ^{[1
]}

JIAO XiangYu ^{[2
]}

机构：

[1] Department of Mathematics, Shanghai Jiaotong University

[2] Department of Mathematics, East China Normal University

来源：

Science China(Mathematics) | 2016年 / 59卷 / 02期

关键词：

bimodule; g-twisted module; vertex operator algebra; intertwining operator; fusion rules;

D O I：

暂无

中图分类号：

O153.3 [环论];

学科分类号：

070104 ;

摘要：

In this paper, for a vertex operator algebra V with an automorphism g of order T, an admissible V-module M and a fixed nonnegative rational number n ∈1/T Z+, we construct an Ag,n（V）-bimodule Ag,n（M） and study its properties, discuss the connections between bimodule Ag,n（M） and intertwining operators. Especially, bimodule A g,n-1T（M） is a natural quotient of Ag,n（M） and there is a linear isomorphism between the space IMk M Mjof intertwining operators and the space of homomorphisms HomAg,n（V）(Ag,n（M）  Ag,n（V）Mj（s）, Mk（t）) for s, t ≤ n, Mj, Mk are g-twisted V modules, if V is g-rational.

引用

页码：397 / 410

页数：14

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