Metaplectic Whittaker Functions and Crystal Bases

  title={Metaplectic Whittaker Functions and Crystal Bases},
  author={Peter J. McNamara},
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 p-part of Multiple Dirichlet Series. 
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