Dynkin diagram folding and reduced expression of Weyl group
- 수학전공
- 조회수2223
- 2016-10-07
Dynkin diagram folding and reduced expression of Weyl group
▣ 연 사 : 오세진 교수(이화여대)
▣일 시 : 2016년 10월 13일(목) 5:00 - 6:00
▣ 장 소 : 31316호(수학과 전공강의실)
▣ 대 상 : 수학과 학부생 및 대학원생
▣ 다 과 : 4시 45분부터
Abstract
The technique, Dynkin diagram folding for finite simply laced-type, are used to investigate for finite simple Lie algebras of non-simply laced types and their applications in many ways. In this talk, I will introduce new techniques related to Dynkin diagram folding. With this technique, we can characterize "the most coarsest partial orders" and "second most coarsest partial orders" on the set of positive roots of finite type ADE. Surprisingly, this technique gives partial answers of the conjectures suggested by Frenkel-Hernandez on the Langlands duality for quantum affine algebras. This talk is based on the result of Oh-Suh and Oh-Kashiwara.