| Date | 2021-05-04 |
|---|---|
| Speaker | 최승일 |
| Dept. | 서울대 |
| Room | 129-101 |
| Time | 16:00-16:30 |
In this talk, I will explain the construction of the $0$-Hecke module arising from a certain tableau that comes from the Demazure module of type $A$.
More precisely, I first give Mason's tableau model of Demazure atoms as a component of the decomposition of the Demazure module.
And then, a basis of the ring of quasisymmetric functions, called quasisymmetric Schur functions, defined by using this model will be presented.
Finally, I will describe the action of the 0-Hecke algebra due to Tewari and van Willigenberg, and describe the $0$-Hecke modules whose quasisymmetric characteristics are quasisymmetric Schur functions.
