Metaplectic Demazure operators and Whittaker functions
Representation Theory
2014-08-25 v1 Number Theory
Abstract
In a previous paper the first two named authors defined an action of a Weyl group on rational functions and used it to construct multiple Dirichlet series. These series are related to Whittaker functions on an n-fold metaplectic cover of a reductive group. In this paper, we define metaplectic analogues of the Demazure and Demazure-Lusztig operators. We show how these operators, together with results of McNamara, can be used to compute Whittaker functions on metaplectic groups over p-adic fields.
Keywords
Cite
@article{arxiv.1408.5394,
title = {Metaplectic Demazure operators and Whittaker functions},
author = {Gautam Chinta and Paul E. Gunnells and Anna Puskas},
journal= {arXiv preprint arXiv:1408.5394},
year = {2014}
}