On Iwahori-Whittaker Functions for Metaplectic Groups
Representation Theory
2017-05-02 v2 Number Theory
Abstract
We relate Iwahori-Whittaker functions on metaplectic covers to certain Demazure-Lusztig operators, the latter of which are built from a Weyl group action previously considered by G. Chinta and P. Gunnells. Using a certain combinatorial identity for the sum of these Demazure-Lusztig operators, we obtain an analogue of the Casselman-Shalika formula for spherical Whittaker functions in this context.
Keywords
Cite
@article{arxiv.1509.01594,
title = {On Iwahori-Whittaker Functions for Metaplectic Groups},
author = {Manish M. Patnaik and Anna Puskás},
journal= {arXiv preprint arXiv:1509.01594},
year = {2017}
}
Comments
Previous version had title "On the Casselman-Shalika formula for metaplectic groups"