论文标题
扭曲的全环谎言代数的零级零不可总体可集成模块的分类
Classification of level zero irreducible integrable modules for twisted full toroidal Lie algebras
论文作者
论文摘要
在本文中，我们首先通过无中心谎言torus $ lt $的延伸来构建扭曲的完整的圆环谎言代数，这是一个由有限订单的几种自动形态扭曲并配备特定分级的多态代数。然后，我们为所有具有有限的尺寸重量空间提供了所有不可约合的集成模块的完整分类，用于这个扭曲的完整的环形谎言代数，具有非平凡的$ lt $ action，以及基础谎言代数的中心在琐碎的位置行为。
In this paper, we first construct the twisted full toroidal Lie algebra by an extension of a centreless Lie torus $LT$ which is a multiloop algebra twisted by several automorphisms of finite order and equipped with a particular grading. We then provide a complete classification of all the irreducible integrable modules with finite dimensional weight spaces for this twisted full toroidal Lie algebra having a non-trivial $LT$-action and where the centre of the underlying Lie algebra acts trivially.
