报告题目 (Title)：Drinfeld Doubles of The N-Rank Taft Algebras and A Generalization of The Jones Polynomial（N阶Taft代数的Drinfeld Doubles与Jones多项式的一个推广）
报告人 (Speaker)： 胡乃红 教授 (华东师范大学)
报告时间 (Time)：2024年6月11日(周二) 14:00
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：张红莲、孙建才
主办部门：永利数学系
报告摘要：In this talk, we describe the Drinfeld double structure of the n-rank Taft algebra and all of its simple modules, and then endow its R-matrices with an application to knot invariants. The knot invariant we get is a generalization of the Jones polynomial, in particular, it coincides with the Jones polynomial in the rank 1 case, while in the rank 2 case, it is the one-parameter specialization of the two-parameter unframed Dubrovnik polynomial, and in higher rank case it is the composite (n-power) of the Jones polynomial. This is a joint work with Ge Feng and Yunnan Li.
