Zobrazeno 1 - 10
of 130
pro vyhledávání: '"MASON BROWN"'
Autor:
Davis, Dougal, Mason-Brown, Lucas
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 properties of $\mathcal{D}$-modules on the flag variety and their Hodge filtra
Externí odkaz:
http://arxiv.org/abs/2411.01372
Autor:
Mason Brown
Publikováno v:
Religions, Vol 11, Iss 11, p 593 (2020)
The academic study of Tibetan Buddhism has long emphasized the textual, philological, and monastic, and sometimes tended to ignore, dismiss, or undervalue the everyday practices and beliefs of ordinary people. In this article, I show that traditional
Externí odkaz:
https://doaj.org/article/0ee84c3a77854363bb4503a3a427a34f
Let $G$ be a complex reductive algebraic group. In arXiv:2108.03453, we have defined a finite set of irreducible admissible representations of $G$ called `unipotent representations', generalizing the special unipotent representations of Arthur and Ba
Externí odkaz:
http://arxiv.org/abs/2309.14853
The wavefront set is a fundamental invariant of an admissible representation arising from the Harish-Chandra-Howe local character expansion. In this paper, we give a precise formula for the wavefront set of an irreducible representation of real infin
Externí odkaz:
http://arxiv.org/abs/2303.10713
Let $k$ be a $p$-adic field and let $\mathbf{G}(k)$ be the $k$-points of a connected reductive group, inner to split. The set of Aubert-Zelevinsky duals of the constituents of a tempered L-packet form an Arthur packet for $\mathbf{G}(k)$. In this pap
Externí odkaz:
http://arxiv.org/abs/2210.00251
Publikováno v:
Alg. Number Th. 18 (2024) 1863-1889
Let $\mathbf{G}(\mathsf{k})$ be a semisimple $p$-adic group, inner to split. In this article, we compute the algebraic and canonical unramified wavefront sets of the irreducible supercuspidal representations of $\mathbf{G}(\mathsf{k})$ in Lusztig's c
Externí odkaz:
http://arxiv.org/abs/2206.08628
Autor:
Mason-Brown, Lucas
Let $G$ be a complex connected reductive algebraic group and let $G_{\mathbb{R}}$ be a real form of $G$. We construct a sequence of functors $L_i\mathcal{R}$ from admissible (resp. finite-length) representations of $G$ to admissible (resp. finite-len
Externí odkaz:
http://arxiv.org/abs/2204.10480
Autor:
Mason-Brown, Lucas
Let $G$ be a complex reductive algebraic group with Lie algebra $\mathfrak{g}$ and let $G_{\mathbb{R}}$ be a real form of $G$ with maximal compact subgroup $K_{\mathbb{R}}$. Associated to $G_{\mathbb{R}}$ is a $K \times \mathbb{C}^{\times}$-invariant
Externí odkaz:
http://arxiv.org/abs/2204.10118
Autor:
Mason-Brown, Lucas
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 as formulated by Adams, Barbasch, and Vogan. In the second half, I wi
Externí odkaz:
http://arxiv.org/abs/2204.04994
Autor:
Mason-Brown, Lucas, Tao, James
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 category of $G$-equivariant vector bundles on $X$ under a mild technical
Externí odkaz:
http://arxiv.org/abs/2202.09600