14 citations · 92 across the 25 of their papers we have counts for
7 papers · 1 filter
Classical Theta Lifts for Higher Metaplectic Covering Group
Solomon Friedberg, David Ginzburg
The classical theta correspondence establishes a relationship between automorphic representations on special orthogonal groups and automorphic representations on symplectic groups…
Hecke Modules from Metaplectic Ice
Ben Brubaker, Valentin Buciumas, Daniel Bump +1
We present a new framework for a broad class of affine Hecke algebra modules, and show that such modules arise in a number of settings involving representations of -adic groups…
Matrix Coefficients and Iwahori-Hecke Algebra Modules
Ben Brubaker, Daniel Bump, Solomon Friedberg
We establish a connection between certain unique models, or equivalently unique functionals, for representations of p-adic groups and linear characters of their corresponding Hecke…
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…
On local coefficients for non-generic representations of some classical groups
Solomon Friedberg, David Goldberg
This paper is concerned with representations of split orthogonal and quasi-split unitary groups over a nonarchimedean local field which are not generic, but which support a unique…
The Fundamental Lemma for the Shalika Subgroup of GL
Solomon Friedberg, Hervé Jacquet
The authors establish the fundamental lemma for a relative trace formula. This trace formula compares generic automorphic representations of GSp with automorphic representatio…
Explicit Formulas for the Waldspurger and Bessel Models
Daniel Bump, Solomon Friedberg, Masaaki Furusawa
In this paper we will study certain models of irreducible admissible representations of the split special orthogonal group over a nonarchimedean local field. If , t…