Demazure slices of type $A_{2l}^{(2)}$

Demazure slices of type

$A_{2l}^{(2)}$

Date

2019/11/14 Thu 10:30 - 12:00

Room

RIMS006号室

Speaker

千原正寛

Affiliation

京大・理

Abstract

Demazure slices are associated graded pieces of infinite-dimensional version of Demazure
modules for affine Lie algebras. In this talk, we review (1) Demazure slices for other types and
(2) usual finite dimensional Demazure modules of type $A_{2l}^{(2)}$ . Then we explain a relation
between graded characters of Demazure slices for $A_{2l}^{(2)}$ and specialized nonsymmetric
Macdonald-Koornwinder polynomials.

Demazure slices of type A(2)2lA_{2l}^{(2)}