D Jiang, D Liu, L Zhang - arXiv preprint arXiv:2207.04700, 2022 - arxiv.org
Let $ G $ be a classical group defined over a local field $ F $ of characteristic zero. Let $\pi $ be an irreducible admissible representation $\pi $ of $ G (F) $, which is of Casselman …
A Hazeltine, B Liu, CH Lo, F Shahidi - arXiv preprint arXiv:2403.11976, 2024 - arxiv.org
In this paper we study the upper bound of wavefront sets of irreducible admissible representations of connected reductive groups defined over non-Archimedean local fields of …
R La - International Mathematics Research Notices, 2024 - academic.oup.com
Let be a unipotent class of, an irreducible-equivariant local system on. The generalized Springer representation appears in the top cohomology of some variety. Let be the …
L Barchini, PE Trapa - arXiv preprint arXiv:2402.17956, 2024 - arxiv.org
Fix an integral semisimple element $\lambda $ in the Lie algebra $\mathfrak {g} $ of a complex reductive algebraic group $ G $. Let $ L $ denote the centralizer of $\lambda $ in …
D Ciubotaru, E Okada - arXiv preprint arXiv:2307.06780, 2023 - arxiv.org
In this paper we extend Barbasch and Moy's results about the local character expansion of depth-$0 $ representations to arbitrary depth. This leads to the definition of a graded …
B Liu, CH Lo, F Shahidi - Rad Hrvatske akademije znanosti i …, 2024 - hrcak.srce.hr
Sažetak The well-known Shahidi's conjecture says that tempered L-packets have generic members. As a natural generalization of Shahidi's conjecture to non-tempered local Arthur …
We show that the results of [BM97, DeB02b, Oka, Lus85, AA07, Tay16] imply a special case of the Moeglin-Waldspurger conjecture on wave-front sets. Namely, we deduce that for large …
In this thesis, we give two generalizations of the Alvis-Curtis duality for Hecke algebras: a relative version for finite Hecke algebras, based on Howlett-Lehrer's work, and an unequal …