报告题目 (Title)：Irreducible representations of some quantum groups at root of unity
中文标题：单位根处某些量子群的不可约表示
报告人 (Speaker)：吴泉水教授(复旦大学)
报告时间 (Time)：2025年11月28日 (周五) 15:00-15:50
报告地点 (Place)：校本部F309
邀请人(Inviter)：黄红娣
报告摘要：We study the irreducible representations of the quantum groups at roots of unity, in the setting of affine Hopf algebras admitting a large central Hopf subalgebras. Such kind of Hopf algebras H can be endowed with a Cayley-Hamilton Hopf algebra structure in the sense of De Concini-Procesi-Reshetikhin-Rosso. By a standard fact, the irreducible representations of H is the disjoint union of the irreducible representations over its fiber algebras. The irreducible representations of H have strong relation with the (lowest) discriminant ideal of H. The talk is based on a joint work with Mi and Yakimov, and some work with Huang, Mi and Qi.