Title：Harish-Chandra homomorphism for quantum superalgebras

Speaker：汪永杰 (合肥工业大学)  

Time：2021年8月6日，周五，上午  10:00-11:30 

Room：科大东区 物质科研楼C1124

Abstract： 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.