08-06【Yongjie Wang】Harish-Chandra homomorphism for quantum superalgebras

Time:2021-07-26Views:45

Speaker:Yongjie Wang(Hefei University of Technology)

Time:10:00-11:30 August 6, 2021

Room:C1124, Material Science Research Building(Section C)


  

In this talk, we will review the Harish-Chandra homomorphism for Lie (super)algebras and quantum group. Then, motivated by Sergeev and Veselov's work, we establish a Harish-Chandra type theorem for quantum superalgebra $\mathrm{U}_q(\mathfrak{g})$ associated to a contragredient Lie superalgebra of type $A-G$, and obtain a set of basis for the center of $\mathrm{U}_q(\mathfrak{g})$. This is based on my recent work joint with Y. Luo and Y. Ye.