Abstract
We study Whittaker functions on nonlinear coverings of simple algebraic groups over a nonarchimedean 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.
Citation
Peter J. McNamara. "Metaplectic Whittaker functions and crystal bases." Duke Math. J. 156 (1) 1 - 31, 15 January 2011. https://doi.org/10.1215/00127094-2010-064
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