报告题目：Some new isoclasses of one-parameter exotic small quantum groups arising from the two-parameter setting

报 告 人：胡乃红教授（华东师范大学）

报告时间：2024年5月31日  15:00-16:00

报告地点：理学院5楼报告厅

报告摘要：

The classification of one-parameter small quantum groups is an interesting open question. This talk reveals a new phenomenon that there exist abundant exotic (about 5 times the standard) small quantum groups beyond the Lusztig small quantum groups (with double grouplikes), which arise from the two-parameter setting. In particular, when the order & of one-parameter q satisfies (&, 210)≠1, the isoclasses of explicit representatives (most of them have Drinfeld doubles) are new finite dimensional pointed Hopf algebras, which complement to the Annals' work of Andruskiewitsch-Schneider under the assumption (&, 210)= 1.

报告人简介：

胡乃红，华东师范大学数学学院教授、博导，德国洪堡学者。主要从事李理论、量子群及Hopf代数结构分类与表示理论方面的研究，多次主持国家自然科学基金面上项目，在Crelle J., Comm. Math. Phys., Israel J. Math., J. Algebra, JPAA, Pacific J. Math.等国际著名学术刊物发表论文70余篇。