报告主题：Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebras
报 告 人：刘明 教授 （华南理工大学）
报告时间：2020年11月7日（周六） 9:00—10:30
参会方式：腾讯会议
会议ID：413 835 559
会议密码：201101
主办部门：理学院数学系
报告摘要： 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.
欢迎教师、学生参加！
