M. Patnaik

activity

20122022

most citedOn Iwahori-Whittaker Functions for Metaplectic Groups

16 citations · 32 across the 5 of their papers we have counts for

collaborators

Showing 2022 · math.RTShow all

2 papers · 2 filters

math.RT2022

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…

math.RT2022

Infinite-rank Euclidean Lattices and Loop Groups

Mathieu Dutour, Manish M. Patnaik

In this paper, we associate a family of infinite-rank pro-Euclidean lattices to elements of a formal loop group and a highest weight representation of the underlying affine Kac--Mo…

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

Infinite-rank Euclidean Lattices and Loop Groups

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