11 citations · 35 across the 15 of their papers we have counts for
18 papers
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…
-strict promotion and -bounded rowmotion, with applications to tableaux of many flavors
Joseph Bernstein, Jessica Striker, Corey Vorland
We define P-strict labelings for a finite poset P as a generalization of semistandard Young tableaux and show that promotion on these objects is in equivariant bijection with a tog…
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…
On the meromorphic continuation of Eisenstein series
Joseph Bernstein, Erez Lapid
Eisenstein series are ubiquitous in the theory of automorphic forms. The traditional proofs of the meromorphic continuation of Eisenstein series, due to Selberg and Langlands, star…
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…