21 citations · 80 across the 62 of their papers we have counts for
7 papers · 1 filter
Metaplectic Demazure operators and Whittaker functions
Gautam Chinta, Paul E. Gunnells, Anna Puskas
In a previous paper the first two named authors defined an action of a Weyl group on rational functions and used it to construct multiple Dirichlet series. These series are related…
Torus orbits on homogeneous varieties and Kac polynomials of quivers
Paul E. Gunnells, Emmanuel Letellier, Fernando Rodriguez Villegas
In this paper we prove that the counting polynomials of certain torus orbits in products of partial flag varieties coincides with the Kac polynomials of supernova quivers, which ar…
Kazhdan-Lusztig cells in planar hyperbolic Coxeter groups and automata
Mikhail Belolipetsky, Paul Gunnells, Richard Scott
Let C be a one- or two-sided Kazhdan--Lusztig cell in a Coxeter group (W,S), and let Reduced(C) denote the set of reduced expressions of all w in C, regarded as a language over the…
Generalised Burnside Rings, G-categories and Module Categories
Paul Gunnells, Andrew Rose, Dmitriy Rumynin
This note describes an application of the theory of generalised Burnside rings to algebraic representation theory. Tables of marks are given explicitly for the groups and $S_…
Cells in Coxeter groups I
Mikhail V. Belolipetsky, Paul E. Gunnells
The purpose of this article is to shed new light on the combinatorial structure of Kazhdan-Lusztig cells in infinite Coxeter groups . Our main focus is the set $\D$ of distingui…
Metaplectic Ice
Ben Brubaker, Daniel Bump, Gautam Chinta +2
Spherical Whittaker functions on the metaplectic n-fold cover of GL(r+1) over a nonarchimedean local field containing n distinct n-th roots of unity may be expressed as the partiti…