16 citations · 32 across the 5 of their papers we have counts for
7 papers · 1 filter
Metaplectic Covers of -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 -fold metaplectic cover of a -adic group at both the Iwahori and spherical level. We express our a…
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 Kac-Moody Groups and Whittaker Functions
Manish Patnaik, Anna Puskás
Starting from some linear algebraic data (a Weyl-group invariant bilinear form) and some arithmetic data (a bilinear Steinberg symbol), we construct a cover of a Kac-Moody group ge…
On Iwahori-Whittaker Functions for Metaplectic Groups
Manish M. Patnaik, Anna Puskás
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…
Unramified Whittaker Functions on p-adic Loop Groups
Manish M. Patnaik
We define unramified Whittaker functions on the p-adic points of an affine Kac-Moody group, and establish an analogue of the Casselman-Shalika formula for these functions.
Iwahori-Hecke algebras for p-adic loop groups
Alexander Braverman, David Kazhdan, Manish Patnaik
This paper is a continuation of a previous paper in which the first two authors have introduced the spherical Hecke algebra and the Satake isomorphism for an untwisted affine Kac-M…
An affine Gindikin-Karpelevich formula
Alexander Braverman, Howard Garland, David Kazhdan +1
In this paper we give an elementary proof of certain finiteness results about affine Kac-Moody groups over a local non-archimedian field K. Our results imply those proven earlier b…