Irreducible A1(1)-modules from modules over two-dimensional non-abelian Lie algebra

被引：0

作者：

Genqiang Liu

Yueqiang Zhao

机构：

[1] Henan University,School of Mathematics and Statistics

来源：

Frontiers of Mathematics in China | 2016年 / 11卷

关键词：

Affine Lie algebras; irreducible modules; weight modules; 17B67; 17B68;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For any module V over the two-dimensional non-abelian Lie algebra b and scalar α ∈ C, we define a class of weight modules Fα(V) with zero central charge over the affine Lie algebra A1(1). These weight modules have infinitedimensional weight spaces if and only if V is infinite dimensional. In this paper, we will determine necessary and sufficient conditions for these modules Fα(V) to be irreducible. In this way, we obtain a lot of irreducible weight A1(1)-modules with infinite-dimensional weight spaces.

引用

页码：353 / 363

页数：10

共 24 条

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