16 citations · 40 across the 4 of their papers we have counts for
4 papers
Crystal constructions in Number Theory
Anna Puskás
Weyl group multiple Dirichlet series and metaplectic Whittaker functions can be described in terms of crystal graphs. We present crystals as parameterized by Littelmann patterns an…
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…
Whittaker functions on metaplectic covers of GL(r)
Anna Puskás
This paper establishes a combinatorial link between different approaches to constructing Whittaker functions on a metaplectic group over a non-archimedean local field. We prove a m…
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…