Metaplectic Whittaker Functions and Crystal Bases
Representation Theory
2019-12-19 v3
Abstract
We study Whittaker functions on nonlinear coverings of simple algebraic groups over a non-archimedean local field. We produce a recipe for expressing such a Whittaker function as a weighted sum over a crystal graph, and show that in type A, these expressions agree with known formulae for the prime power supported coefficients of Multiple Dirichlet Series.
Keywords
Cite
@article{arxiv.0907.2675,
title = {Metaplectic Whittaker Functions and Crystal Bases},
author = {Peter J. McNamara},
journal= {arXiv preprint arXiv:0907.2675},
year = {2019}
}
Comments
26 pages, version to appear