Construction of local A-packets

H Atobe - Journal für die reine und angewandte Mathematik …, 2022 - degruyter.com
In the present paper, we reformulate Mœglin's explicit construction of local A-packets of split
odd special orthogonal groups and symplectic groups. By this reformulation together with …

On the weak local Arthur packets conjecture for split classical groups

B Liu, CH Lo - International Mathematics Research Notices, 2024 - academic.oup.com
Recently, motivated by the theory of real local Arthur packets, making use of the wavefront
sets of representations over non-Archimedean local fields, Ciubotaru, Mason-Brown, and …

On the upper bound of wavefront sets of representations of p-adic groups

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 …

On anti-tempered local Arthur packets and a lemma of Arthur

B Liu, CH Lo, F Shahidi - arXiv preprint arXiv:2405.17407, 2024 - arxiv.org
In this note, following Arthur's ideas, we rework the process of constructing the anti-tempered
local Arthur packets for quasi-split classical groups and their pure inner forms. In particular …

On the socles of certain parabolically induced representations of 𝑝-adic classical groups

H Atobe - Representation Theory of the American Mathematical …, 2022 - ams.org
In this paper, we consider representations of $ p $-adic classical groups parabolically
induced from the products of shifted Speh representations and unitary representations of …

The set of local 𝐴-packets containing a given representation

H Atobe - Journal für die reine und angewandte Mathematik …, 2023 - degruyter.com
In this paper, we give an algorithm to determine all local 𝐴-packets containing a given
irreducible representation of a split special odd orthogonal group or a symplectic group over …

Maximality Properties of Generalized Springer Representations of SO (N, ℂ)

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 …

On Intersections of Local Arthur Packets for Classical Groups

A Hazeltine - 2023 - search.proquest.com
In this thesis, for symplectic and split odd special orthogonal groups over a p-adic field, we
provide an extensive account of the intersection of local Arthur packets. More specifically …

On unitarizability and Arthur packets

M Tadić - manuscripta mathematica, 2022 - Springer
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Theta correspondence and Arthur packets: on the Adams conjecture

P Bakic, M Hanzer - arXiv preprint arXiv:2211.08596, 2022 - arxiv.org
The Adams conjecture predicts that the local theta correspondence should respect Arthur
packets. In this paper, we revisit the Adams conjecture for the symplectic--even orthogonal …