Whittaker functions and Demazure characters
Number Theory
2016-03-18 v2 Representation Theory
Abstract
In this paper, we consider how to express an Iwahori--Whittaker function through Demazure characters. Under some interesting combinatorial conditions, we obtain an explicit formula and thereby a generalization of the Casselman--Shalika formula. Under the same conditions, we compute the transition matrix between two natural bases for the space of Iwahori fixed vectors of an induced representation of a p-adic group; this generalizes a result of Bump--Nakasuji.
Cite
@article{arxiv.1602.06451,
title = {Whittaker functions and Demazure characters},
author = {Kyu-Hwan Lee and Cristian Lenart and Dongwen Liu and Dinakar Muthiah and Anna Puskás},
journal= {arXiv preprint arXiv:1602.06451},
year = {2016}
}