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arXiv · 1509.01594

On Iwahori-Whittaker Functions for Metaplectic Groups

Manish M. Patnaik·Anna Puskás
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Abstract

We relate Iwahori-Whittaker functions on metaplectic covers to certain Demazure-Lusztig operators, the latter of which are built from a Weyl group action previously considered by G. Chinta and P. Gunnells. Using a certain combinatorial identity for the sum of these Demazure-Lusztig operators, we obtain an analogue of the Casselman-Shalika formula for spherical Whittaker functions in this context.

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BibTeXRIS

Manish M. Patnaik, Anna Puskás. 2015-09-04. On Iwahori-Whittaker Functions for Metaplectic Groups. https://doi.org/10.1016/j.aim.2017.04.005

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