Bimodules and g-rationality of vertex operator algebras
Bimodules and g-rationality of vertex operator algebras
复制标题
DOI：
10.1090/s0002-9947-08-04430-9
复制
发表时间：
2006-07
影响因子：
1.3
通讯作者：
C. Dong;Cuipo Jiang
中科院分区：
文献类型：
--
作者：
C. Dong;Cuipo Jiang
.研究了顶点算子代数的扭曲表示。设V是顶点算子代数，g是V的有限阶自同构.对任意m，n ∈ 1 TZ +，构造了一个Ag，n（V）-Ag，m（V）-双模Ag，n，m（V）.这些双模的集合完全决定了任何容许的g-扭V-模。从任意Agm（V）-模中自然地构造出Verma型容许g-扭V-模.利用双模理论证明了单顶点算子代数V是g-有理的当且仅当它的扭结合代数Ag（V）是半单的，且每个不可约容许g-扭V-模是普通的.
. This paper studies the twisted representations of vertex operator algebras. Let V be a vertex operator algebra and g an automorphism of V of finite order T. For any m,n ∈ 1 TZ + , an A g,n (V)-A g,m (V)-bimodule A g,n,m (V) is constructed. The collection of these bimodules determines any admissible g-twisted V-module completely. A Verma type admissible g-twisted V-module is constructed naturally from any A g,m (V)-module. Furthermore, it is shown with the help of bimodule theory that a simple vertex operator algebra V is g-rational if and only if its twisted associative algebra Ag(V) is semisimple and each irreducible admissible g-twisted V-module is ordinary.