D. Vogan

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20112026

most citedHecke algebras and involutions in Weyl groups

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

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12 papers · 1 filter

math.RT2026

The Unitarity of Arthur Packets for Real Reductive Groups

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

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

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 $G (R)$ . 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 $G / H$ for compact Lie groups in a small number of ways. In each case, the decomposition of $L^{2} (G / H)$ into irreducible representations…

math.RT2017

Computing the associatied cycles of certain Harish-Chandra modules

Salah Mehdi, Pavle Pandzic, David Vogan +1

Let $G_{R}$ be a simple real linear Lie group with maximal compact subgroup $K_{R}$ and assume that $rank (G_{R}) = rank (K_{R})$ . In \cite{…

math.RT2017

Dirac Index and associated cycles of Harish-Chandra modules

Salah Mehdi, Pavle Pandzic, David Vogan +1

Let $G_{R}$ be a simple real linear Lie group with maximal compact subgroup $K_{R}$ and assume that $rank (G_{R}) = rank (K_{R})$ . For any r…