Date | May 04, 2021 |
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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.

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