Representation theory of 0-Hecke algebras and quasisymmetric functions
bk21
129동 101호
0
493
04.30 13:21
| 구분 | Rookies Pitch |
|---|---|
| 일정 | 2026-05-07(목) 16:00~16:30 |
| 세미나실 | 129동 101호 |
| 강연자 | 이소연 (서울대학교) |
| 담당교수 | 서인석 |
| 기타 |
The representation theory of the symmetric group plays a central role in mathematics, particularly in combinatorics through its connection with symmetric functions. In this setting, the Iwahori–Hecke algebra can be viewed as a q-deformation of the group algebra of the symmetric group. Its representation theory depends on the parameter q, leading to different behavior for different values of q.
In this talk, I focus on the case q = 0, namely the 0-Hecke algebra, whose representation theory is closely related to quasisymmetric functions. I will briefly review the history of this subject and discuss recent developments involving quasisymmetric functions and related combinatorics.
