activity
20112026
most citedHecke algebras and involutions in Weyl groups

45 citations · 60 across the 10 of their papers we have counts for

collaborators

13 papers

math.RT2026

The Unitarity of Arthur Packets for Real Reductive Groups

Jeffrey Adams, Andrei Ionov, Lucas Mason-Brown +1

Let be a connected reductive algebraic group defined over . In the 1980s, Arthur conjectured the existence of certain packets of irreducible admissible representati…

math.NT2025

Langlands parameters for reductive groups over finite fields

Naoki Imai, David A. Vogan

We define Langlands parameters for connected reductive groups over finite fields and formulate the Langlands correspondence for finite fields using these parameters.

math.RT2021

Involutions in Weyl groups and nil-Hecke algebras

George Lusztig, David A. Vogan

In a previous article we have defined an action of the Iwahori-Hecke algebra of a Coxeter group W on a free module with basis indexed by the involutions in W. In this paper we show…

math.RT2021

Associated varieties for real reductive groups

Jeffrey Adams, David A. Vogan

We give an algorithm to compute the associated variety of a Harish- Chandra module for a real reductive group . The algorithm is implemented in the atlas software p…

math.RT2018

Laplacians on spheres

Henrik Schlichtkrull, Peter Trapa, David A. Vogan

Spheres can be written as homogeneous spaces for compact Lie groups in a small number of ways. In each case, the decomposition of into irreducible representations…

math.RT2017

Computing the associatied cycles of certain Harish-Chandra modules

Salah Mehdi, Pavle Pandzic, David Vogan +1

Let be a simple real linear Lie group with maximal compact subgroup and assume that . In \cite{…