activity
20192025
most citedUnipotent Representations of Complex Groups and Extended Sommers Duality

1 citations · 1 across the 8 of their papers we have counts for

collaborators
Showing math.RTShow all

8 papers · 1 filter

math.RT2025

Hodge theory, intertwining functors, and the Orbit Method for real reductive groups

Dougal Davis, Lucas Mason-Brown

We study the Hodge filtrations of Schmid and Vilonen on unipotent representations of real reductive groups. We show that for various well-defined classes of unipotent representatio…

math.RT2024

The FPP Conjecture for Real Reductive Groups

Dougal Davis, Lucas Mason-Brown

In this paper, we prove the FPP conjecture, giving a strong upper bound on the unitary dual of a real reductive group. Our proof is an application of the global generation properti…

math.RT2022

Some Unipotent Arthur Packets for Reductive -adic Groups

Dan Ciubotaru, Lucas Mason-Brown, Emile Okada

Let be a -adic field and let be the -points of a connected reductive group, inner to split. The set of Aubert-Zelevinsky duals of the constituents of a te…

math.RT2022

Restricting Representations from a Complex Group to a Real Form

Lucas Mason-Brown

Let be a complex connected reductive algebraic group and let be a real form of . We construct a sequence of functors from admissible (resp.…

math.RT2022

Arthur's Conjectures and the Orbit Method for Real Reductive Groups

Lucas Mason-Brown

The first half of this article is expository -- I will review, with examples, the main statements of the Langlands classification and Arthur's conjectures for real reductive groups…

math.RT2021

Unipotent Ideals for Spin and Exceptional Groups

Lucas Mason-Brown, Dmytro Matvieievskyi

In the monograph arXiv:2108.03453, we define the notion of a unipotent representation of a complex reductive group. The representations we define include, as a proper subset, all s…