Drinfel'd doubles of the n-rank Taft algebras, and a generalization of the Jones polynomial
报告人：黎允楠
报告地点：腾讯会议ID:183 582 271
报告时间：2021年9月24日星期五15:00-16:00
邀请人：刘杰锋
报告摘要：
In this talk, we describe the Drinfel'd 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 rank 1 case, while in 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 joint work with Ge Feng and Naihong Hu.
主讲人简介：
黎允楠，广州大学数学与信息科学学院副教授，博士毕业于华东师范大学数学系，研究方向为李代数、量子群与代数组合，现与合作者在国际数学期刊Math. Z., J. Combin. Theory Ser. A., J. Algebra, Pacific J. Math., J. Algebraic Combin.等发表论文数篇。2015年成为美国数学会数学评论网评论员，2018-2019国家公派美国罗格斯大学研修访问，2020年认定为广州市青年后备人才。
学校主页