论文标题
扭曲的全环谎言代数的有限模块的分类
Classification of bounded modules for the Twisted Full Toroidal Lie Algebras
论文作者
论文摘要
在本文中，我们研究了扭曲的全环谎言代数（TFTLA）的模块。我们为TFTLA定义了一个有界模块的类别，并对该类别中的所有不可还原模块进行了分类。 Michael Lau和Yuly Billig使用Vertex Operator代数明确构建了一类不可还原有限模块。我们证明它们耗尽了所有不可还原有限的模块。我们的计划是描述TFTLA的有限不可还原模块的顶部空间，并证明它们实际上与Lau和Billig构建的模块的顶部空间相吻合。当顶部空间成为同构时，相应的不可值模块也是同构。
In this paper, we study modules for the Twisted Full Toroidal Lie Algebras (TFTLA). We define a category of bounded modules for TFTLA and classify all the irreducible modules in that category. A class of irreducible bounded modules are explicitly constructed by Michael Lau and Yuly Billig using Vertex operator algebras. We show that they exhaust all the irreducible bounded modules. Our plan is to describe the top spaces of the bounded irreducible modules for TFTLA and prove they in fact coincide with the top spaces of the modules constructed by Lau and Billig. When the top spaces become isomorphic then the corresponding irreducible modules are also isomorphic.
