11 citations · 35 across the 15 of their papers we have counts for
10 papers · 1 filter
Strong density of spherical characters attached to unipotent subgroups
Avraham Aizenbud, Joseph Bernstein, Eitan Sayag
We prove the following result in relative representation theory of a reductive p-adic group : Let be the unipotent radical of a minimal parabolic subgroup of , and let $ψ…
Hidden sign in Langlands' correspondence
Joseph Bernstein
In this note I describe some modification of the Langlands correspondence and explain why it is more natural. I will also discuss its significance to the theory of automorphic L-fu…
Contractions of Representations and Algebraic Families of Harish-Chandra Modules
Joseph Bernstein, Nigel Higson, Eyal Subag
We examine from an algebraic point of view some families of unitary group representations that arise in mathematical physics and are associated to contraction families of Lie group…
Deligne-Lusztig duality and wonderful compactification
Joseph Bernstein, Roman Bezrukavnikov, David Kazhdan
We use geometry of the wonderful compactification to obtain a new proof of the relation between Deligne-Lusztig (or Alvis-Curtis) duality for -adic groups and the homological du…
Algebraic Families of Harish-Chandra Pairs
Joseph Bernstein, Nigel Higson, Eyal Subag
Mathematical physicists have studied degenerations of Lie groups and their representations, which they call contractions. In this paper we study these contractions, and also other…
Stacks in Representation Theory. What is a continuous representation of an algebraic group ?
Joseph Bernstein
In this note I introduce a new approach to (or rather a new language for) representation theory of groups. Namely, I propose to consider a (complex) representation of a group a…
Smooth Frechet Globalizations of Harish-Chandra Modules
Joseph Bernstein, Bernhard Krötz
An elementary and self-contained approach to smooth Frechet globalizations of Harish-Chandra modules is presented. We provide applications to the theory of Eisenstein series and Au…
Periods, subconvexity of L-functions and representation theory
Joseph Bernstein, Andre Reznikov
We describe a new method to estimate the trilinear period on automorphic representations of PGL(2,R). Such a period gives rise to a special value of the triple L-function. We prove…
Estimates of automorphic functions
Joseph Bernstein, Andre Reznikov
We present a new method of estimating trilinear period for automorphic representations of SL(2,R). The method is based on the uniqueness principle in representation theory. We show…
Analytic continuation of representations and estimates of automorphic forms
Joseph Bernstein, Andre Reznikov
Properties of analytic vectors in representations of SL(2,R) are used to give new bounds for the triple products recently considered by P. Sarnak. A conjecture of Sarnak about such…