应数学与统计学院邀请，华南理工大学刘明博士将于2021年10月26日进行线上学术讲座。

时间：2021年10月26日15:00—16:00 (北京时间)

腾讯会议ID：439 884 094

(链接：https://meeting.tencent.com/dm/eVgWm0Wq05eJ）

摘要：An explicit isomorphism between the R-matrix and Drinfeld presentations of the quantum affine algebra in type A was given by Ding and I. Frenkel (1993). In this talk, we will show that this result can be extended to types B, C and D. In all classical types the Gauss decomposition of the generator matrix in the R-matrix presentation yields the Drinfeld generators. To prove that the resulting map is an isomorphism we follow the work of E. Frenkel and Mukhin (2002) in type A and employ the universal R-matrix to construct the inverse map. A key role in our construction is played by an embedding theorem which allows us to consider the quantum affine algebra of rank n−1 in the R-matrix presentation as a subalgebra of the corresponding algebra of rank n of the same type.

欢迎广大师生光临！

报告人简介

 刘明，华南理工大学数学学院教师。研究方向：李代数、量子群。在Com. Math. Phy., Contemp. Math., J. Algebra 等高水平杂志上发表十多篇学术论文。

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