报告题目： Harish-Chandra Theorem for Two-parameter Quantum Groups

报 告 人：胡乃红 教授 华东师范大学

摘 要：The centre of two-parameter quantum groups Ur,s(g) is determined through the Harish-Chandra homomorphism. Based on the Rosso form and the representation theory of weight modules, we prove that when rank g is even, the Harish-Chandra homomorphism is an isomorphism, and in particular, the centre of the quantum group Ŭr,s(g) of the weight lattice type is a polynomial algebra K[zω1, …, zωn ], where canonical central elements zλ(λ∈Λ+) are turned out to be uniformly expressed. For rank g to be odd, we figure out a new invertible extra central generator z∗, which doesn’t survive in Uq(g), and we get a larger centre containing K[zω1, …, zωn ]⊗K K[z∗, z∗-1 ]. This is a joint work with Hengyi Wang.

报告时间：2024年4月12日 上午10:30—12:00

报告地点：数学科学学院56号楼617

主办单位：数学科学学院

联系人：刘立宇

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