Benjamin Harris

activity

20122022

most citedWave Front Sets of Reductive Lie Group Representations

14 citations · 15 across the 6 of their papers we have counts for

collaborators

8 papers

math.RT2022

On the asymptotic support of Plancherel measures for homogeneous spaces

Benjamin Harris, Yoshiki Oshima

Let $G$ be a real linear reductive group and let $H$ be a unimodular, locally algebraic subgroup. Let $supp L^{2} (G / H)$ be the set of irreducible unitary representatio…

math.RT2017★ 1 cited

Irreducible Characters and Semisimple Coadjoint Orbits

Benjamin Harris, Yoshiki Oshima

When $G_{R}$ is a real, linear algebraic group, the orbit method predicts that nearly all of the unitary dual of $G_{R}$ consists of representations naturally ass…

math.RT2015

Wave Front Sets of Reductive Lie Group Representations III

Benjamin Harris, Tobias Weich

Let $G$ be a real, reductive algebraic group, and let $X$ be a homogeneous space for $G$ with a non-zero invariant density. We give an explicit description of a Zariski open, dense…

math.RT2014

Wave Front Sets of Reductive Lie Group Representations II

Benjamin Harris

In this paper it is shown that the wave front set of a direct integral of singular, irreducible representations of a real, reductive algebraic group is contained in the singular se…

math.RT2013★ 14 cited

Wave Front Sets of Reductive Lie Group Representations

Benjamin Harris, Hongyu He, Gestur Olafsson

If $G$ is a Lie group, $H \subset G$ is a closed subgroup, and $τ$ is a unitary representation of $H$ , then the authors give a sufficient condition on $ξ \in i g^{*}$ to be i…

math.RT2012

Fourier Transforms of Nilpotent, Coadjoint Orbits for GL(n,R)

Benjamin Harris

The main result of this paper is an explicit formula for the Fourier transform of the canonical measure on a nilpotent coadjoint orbit for GL(n,R). This paper also includes some re…

math.RT2012

The Continuous Spectrum in Discrete Series Branching Laws

Benjamin Harris, Hongyu He, Gestur Olafsson

If $G$ is a reductive Lie group of Harish-Chandra class, $H$ is a symmetric subgroup, and $π$ is a discrete series representation of $G$ , the authors give a condition on the pair $…

math.RT2012

Tempered Representations and Nilpotent Orbits

Benjamin Harris

Given a nilpotent orbit O of a real, reductive algebraic group, a necessary condition is given for the existence of a tempered representation pi such that O occurs in the wave fron…