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Metaplectic Whittaker Functions and Crystal Bases

Authors
Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: 0907.2675
Source
arXiv
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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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