On multiplicity-free weight modules over quantized enveloping algebras

发布时间：2024-12-19 作者：浏览次数：

Speaker:	刘兴鹏	DateTime:	2024年12月21日（周六）上午9:30-10:30
Brief Introduction to Speaker: 刘兴鹏，南方科技大学博士后		Place:	新文科楼403会议室
Abstract:Multiplicity-free weight modules are a special class of infinite-dimensional weight modules characterized by weight multiplicities uniformly bounded by 1. These modules not only play a crucial role in the classification of simple weight modules but also serve as key examples in understanding the existence and construction of bounded weight modules. In this talk, I will discuss an effective method for constructing multiplicity-free weight modules for quantized enveloping algebras of both finite and affine types, which provide deeper insights into the underlying algebraic structures. This work was joint with V. Futorny.