| 구분 |
표현론 세미나 |
| 일정 |
2019-07-18 11:00 ~ 17:00 |
| 강연자 |
박의용 (서울시립대학교) |
| 기타 |
|
| 담당교수 |
권재훈 |
* 7월17일 3:00~4:00,
7월18일 오전 11:00~12:00, 오후 1:30~2:30, 3:00~4:00
In this lecture, I will explain the generalized quantum Schur-Weyl duality functor using quiver Hecke algebras given by Kang, Kashiwara and Kim. This functor is a vast generalization of quantum Schur-Weyl duality between module categories of the affine Hecke algebra of type A and the quantum affine algebras of type A. Let $U_q’(g)$ be a quantum affine algebra, and let ${ V_j }_{j in J}$ be a family of quasi-good $U_q’(g)$-modules. The generalized quantum Schur-Weyl duality provides a procedure to make a symmetric quiver Hecke algebra $R^J$ from the R-matrices among ${ V_j }_{j in J}$ and to construct a monoidal functor F with good properties from the finite-dimensional $R^J$-module category to the finite-dimensional $U_q’(g)$-module category. This is a 4 hour lecture with the following content:
Categorification using quiver Hecke algebras Quiver Hecke algebra of type $A$ R-matrices for quantum affine algebras Generalized Schur-Weyl duality
