Lucas Mason-Brown

activity

20182025

most citedWavefront Sets of Unipotent Representations of Reductive

p

-adic Groups I

5 citations · 14 across the 13 of their papers we have counts for

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Showing 2022Show all

6 papers · 1 filter

math.RT2022

Some Unipotent Arthur Packets for Reductive $p$ -adic Groups

Dan Ciubotaru, Lucas Mason-Brown, Emile Okada

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

math.RT2022★ 4 cited

The Wavefront Sets of Unipotent Supercuspidal Representations

Dan Ciubotaru, Lucas Mason-Brown, Emile Okada

Let $G (k)$ be a semisimple $p$ -adic group, inner to split. In this article, we compute the algebraic and canonical unramified wavefront sets of the irreducible su…

math.RT2022

Restricting Representations from a Complex Group to a Real Form

Lucas Mason-Brown

Let $G$ be a complex connected reductive algebraic group and let $G_{R}$ be a real form of $G$ . We construct a sequence of functors $L_{i} R$ 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.RT2022

Regular Functions on the K-Nilpotent Cone

Lucas Mason-Brown

Let $G$ be a complex reductive algebraic group with Lie algebra $g$ and let $G_{R}$ be a real form of $G$ with maximal compact subgroup $K_{R}$ . Associ…

math.AG2022

Equivariant Vector Bundles on Varieties with Codimension-one Orbits

Lucas Mason-Brown, James Tao

Let $G$ be an algebraic group and let $X$ be a smooth $G$ -variety with two orbits: an open orbit and a a closed orbit of codimension $1$ . We give an algebraic description of the ca…

Some Unipotent Arthur Packets for Reductive p-adic Groups

The Wavefront Sets of Unipotent Supercuspidal Representations

Restricting Representations from a Complex Group to a Real Form

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

Regular Functions on the K-Nilpotent Cone

Equivariant Vector Bundles on Varieties with Codimension-one Orbits

Some Unipotent Arthur Packets for Reductive $p$ -adic Groups