# Combinatorics of Iwahori Whittaker Functions

@inproceedings{Naprienko2021CombinatoricsOI, title={Combinatorics of Iwahori Whittaker Functions}, author={S. A. Naprienko}, year={2021} }

We give a combinatorial evaluation of Iwahori Whittaker functions for unramified genuine principal series representations on metaplectic covers of the general linear group over a non-archimedean local field. To describe the combinatorics, we introduce new combinatorial data that we call colored data: colored Lusztig data, colored Gelfand-Tsetlin patterns, and colored lattice models. We show that all three are equivalent. To achieve the result, we give an explicit Iwahori decomposition for the…

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