报告题目: U^0-free quantum group representations

报告人: 刘兴鹏(南方科技大学深圳国际数学中心)

报告地点: 数学楼309

报告时间：2024年4月9日10：30-11：30

摘要: In this talk, let g be a finite dimensional complex simple Lie algebra, and let U = U_q(g) be the quantized enveloping algebra with the Cartan part U^0. Then all U-module structures on U^0 with the regular action of U^0 on itself can be classified. It shows that there are direct connections with the q-Weyl algebra and the bounded weight representations. One necessary and sufficient condition for the existence of such modules is that U has to be of type A_n(n ≥ 1), B_n(n ≥ 2) or C_n(n ≥ 3). Moreover, their module structures and associated weight modules for each type can be described explicitly. This work was joint with H. Chen, Y. Gao and L. Wang.

邀请人：吕仁才