Quantum affine algebras are quantum enveloping algebras of affine Lie algebras, introduced independently by Drinfeld and Jimbo in their study of the Yang-Baxter equation. Representation theory of quantum affine algebras depends mostly on the Drinfeld realization, which was announced in 1987. Ding and Frenkel proved the presentation using the Faddeev school's R-matrix method in type A in 1993. We will discuss our recent joint work with A. Molev and M. Liu on the Drinfeld realization for other classical types. Our proof extended the R-matrix method with the help of quasideterminants, and we constructed a sequence of larger quantum algebras associated with the spectral parameter dependent R-matrix. In the end, I will also briefly discuss another presentation of quantum extended affine algebras (jointly with F. Chen, F. Kong and S. Tan).

6月21日
11:00am - 12:00pm
地点
https://hkust.zoom.us/j/8835519266 (Passcode: 123456)
讲者/表演者
Prof. Naihuan JING
North Carolina State University
主办单位
Department of Mathematics
联系方法
付款详情
对象
Alumni, Faculty and staff, PG students, UG students
语言
英语
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