江苏省应用数学(中国矿业大学)中心系列学术报告
报告题目:On multiplicity-free weight modules over quantized enveloping algebras
报告人:刘兴鹏(南方科技大学深圳数学中心)
报告时间:2025年01月18日(周六)10:00-11:00
报告地点:数学学院B301
报告摘要: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.
报告人简介:刘兴鹏,南方科技大学博士后。