Title：On multiplicity-free weight modules over quantum affine algebras

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 quantum affine algebras, which provide deeper insights into the underlying algebraic structures. This work was joint with V. Futorny.

Speaker：Xingpeng Liu，South University of Science and Technology of China

Date：2025-6-24（13:30-15:00）

Venue: 617

Organizer：School of Mathematical Science

Inviter：Libin Li, Hua Sun

Students and teachers are welcome.