Title: Construction of Gelfand-Tsetlin modules for Yangians

Speaker: Prof. Jian Zhang ( Central China Normal University )

Time: Sun, Oct.25 2020, AM: 09:00-10:00

Location:  4318, Building No.4, Wushan Campus

Inviter: Dr. Ming Liu

Abstract:

        We construct explicitly a family of new simple modules for Yangian of type A. A basis of these modules is given by the Gelfand-Tsetlin tableaux whose entries satisfy certain conditions. In particular we describe a family of simple infinite dimensional highest weight relation modules. We also prove a sufficient condition for the simplicity of tensor product of two hignest weight relation modules and establish the simplicity of the tensor product any number of relation modules with generic highest weights.