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Metaplectic Whittaker Functions and Crystal Bases

Authors
  • McNamara, Peter J.
Type
Preprint
Publication Date
Mar 06, 2010
Submission Date
Jul 15, 2009
Identifiers
arXiv ID: 0907.2675
Source
arXiv
License
Yellow
External links

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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