报告题目 (Title)：超Yangians及其表示(Super-Yangians and their representations)

报告人 (Speaker)：Prof. Alexander Molev (University of Sydney, Australia)

报告时间 (Time)：2023年12月7日 (周四) 10:00-11:00

报告地点 (Place)：校本部F309

邀请人(Inviter)：张红莲教授

主办部门：理学院数学系

报告摘要：By the original definition of Drinfeld (1985), the Yangian Y(a) associated with a simple Lie algebra a is a canonical deformation of the universal enveloping algebra U(a[u]) in the class of Hopf algebras. The representation theory of the Yangians is a substantive and fascinating area which has since attracted significant interest from both mathematical physicists and representation theorists. The Yangians associated with different families of Lie superalgebras were subsequently introduced by Nazarov (1991, 1992) and Arnaudon et al. (2003). We will review representation theory of the Yangians associated with the general linear Lie superalgebras and discuss known results and open problems for representations of the orthosymplectic Yangians.