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arXiv · 0907.2675

Metaplectic Whittaker Functions and Crystal Bases

Peter J. McNamara
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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.

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Peter J. McNamara. 2010-03-06. Metaplectic Whittaker Functions and Crystal Bases. https://doi.org/10.1215/00127094-2010-064

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