08-06【汪永杰】Harish-Chandra homomorphism for quantum superalgebras

发布时间:2021-07-26来源:几何与物理研究中心中文网页浏览次数:61

报告人:汪永杰(合肥工业大学)

时间:2021年8月6日, 周五,10:00-11:30

地点: 物质科研楼C1124



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.