# A Yang–Baxter equation for metaplectic ice

@article{Brubaker2019AYE,
title={A Yang–Baxter equation for metaplectic ice},
author={Ben Brubaker and Valentin Buciumas and Daniel Bump},
journal={Communications in Number Theory and Physics},
year={2019}
}
• Published 2019
• Mathematics
• Communications in Number Theory and Physics
We will give new applications of quantum groups to the study of spherical Whittaker functions on the metaplectic $n$-fold cover of $\GL(r,F)$, where $F$ is a nonarchimedean local field. Earlier Brubaker, Bump, Friedberg, Chinta and Gunnells had shown that these Whittaker functions can be identified with the partition functions of statistical mechanical systems. They postulated that a Yang-Baxter equation underlies the properties of these Whittaker functions. We confirm this, and identify the… Expand

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