activity
20192022
collaborators

7 papers

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.AG2022

Equivariant Vector Bundles on Varieties with Codimension-one Orbits

Lucas Mason-Brown, James Tao

Let be an algebraic group and let be a smooth -variety with two orbits: an open orbit and a a closed orbit of codimension . We give an algebraic description of the ca…

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…

math.RT2019

Upper Triangularity for Unipotent Representations

Lucas Mason-Brown

Suppose is a real reductive group. The determination of the irreducible unitary representations of is one of the major unsolved problem in representation theory. There is e…