Bimodule and twisted representation of vertex operator algebras  

作　　者：JIANG QiFen JIAO XiangYu 

机构地区：[1]Department of Mathematics, Shanghai Jiaotong University [2]Department of Mathematics, East China Normal University

出　　处：《Science China Mathematics》2016年第2期397-410,共14页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11101269 and 11431010)

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 A_(g,n)(V)-bimodule Ag,n(M) and study its properties, discuss the connections between bimodule A_(g,n)(M) and intertwining operators. Especially, bimodule A _(g,n)-1T(M) is a natural quotient of A_(g,n)(M) and there is a linear isomorphism between the space IM^k M Mjof intertwining operators and the space of homomorphisms HomA_(g,n)(V)(A_(g,n)(M) A_(g,n)(V)M^j(s), M^k(t)) for s, t ≤ n, M^j, M^k are g-twisted V modules, if V is g-rational.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 A（g,n）（V）-bimodule Ag,n（M） and study its properties, discuss the connections between bimodule A（g,n）（M） and intertwining operators. Especially, bimodule A （g,n）-1T（M） is a natural quotient of A（g,n）（M） and there is a linear isomorphism between the space IM^k M Mjof intertwining operators and the space of homomorphisms HomA（g,n）（V）（A（g,n）（M） A（g,n）（V）M^j（s）, M^k（t）） for s, t ≤ n, M^j, M^k are g-twisted V modules, if V is g-rational.

关 键 词：BIMODULE g-twisted module vertex operator algebra intertwining operator fusion rules 

分 类 号：O153.3[理学—数学]