论文标题
放松的最高权重模块III：字符公式
Relaxed highest-weight modules III: Character formulae
论文作者
论文摘要
这是一系列专门研究顶点操作员代数的轻松最高权重模块的文章中的三分之一。广泛研究了与较高等级相关的仿射顶点代数的轻松最高重量模块。特别是，简单轻松的最高重量模块的弦乐功能是简单的cuspidal $ a_ \ ell $ -Modules的弦乐函数，这是通过Dedekind Eta系列的功能，即$ Q $ - 简单的普通模块的功能，是封闭式W-Algebras的$ Q $ characters of the $ nilpotent of $ a___ $ a_____的简单普通模块。
This is the third of a series of articles devoted to the study of relaxed highest weight modules over vertex operator algebras. Relaxed highest weight modules over affine vertex algebras associated to higher rank Lie algebras $A_\ell$ are extensively studied. In particular, the string functions of simple relaxed highest weight modules whose top spaces are simple cuspidal $A_\ell$-modules are shown to be the quotients by a power of the Dedekind eta series of the $q$-characters of simple ordinary modules over affine W-algebras associated with the minimal nilpotent elements of $A_\ell$.
