08-06【汪永杰】物质楼C1124 GAP研讨班系列讲座之209

发布者:万宏艳发布时间:2021-08-03浏览次数:421

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.