3 papers
math.RT2026
Unipotent Ideals and Harish-Chandra Bimodules
Ivan Losev, Lucas Mason-Brown, Dmytro Matvieievskyi
Let be a complex reductive algebraic group. In this paper, we give a geometric definition of a unipotent representation of . Our definition generalizes the notion of a speci…
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…