Metaplectic Covers of $p$-adic Groups and Quantum Groups at Roots of Unity

Valentin Buciumas, Manish M. Patnaik

We describe the structure of the Whittaker or Gelfand-Graev module on a $n$-fold metaplectic cover of a $p$-adic group $G$ at both the Iwahori and spherical level. We express our a…