Abstract In this article, we study modules for 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 is explicitly constructed by Michael Lau and Yuly Billig using Vertex Operator Algebras. We show that they exhaust all the irreducible bounded modules. We prove that the top spaces of both these classes of modules are the same and hence the corresponding irreducible modules are also the same.

中文翻译：

---

扭曲全环面谎言代数的有界模分类

摘要 在本文中，我们研究了扭曲全环形谎言代数 (TFTLA) 的模块。我们为 TFTLA 定义了一个有界模块的类别，并将该类别中的所有不可约模块分类。Michael Lau 和 Yuly Billig 使用顶点算子代数显式构造了一类不可约有界模块。我们证明他们穷尽了所有不可约的有界模块。我们证明这两类模块的顶部空间是相同的，因此相应的不可约模块也相同。