On Jacquet modules of representations of segment type

I Matić, M Tadić - Manuscripta mathematica, 2015 - Springer
Let G n denote either the group Sp (n, F) or SO (2 n+ 1, F) over a local non-archimedean
field F. We study representations of segment type of group G n, which play a fundamental …

[PDF][PDF] Tempered representations for classical p-adic groups

C Jantzen - Manuscripta Mathematica, 2014 - myweb.ecu.edu
The purpose of this paper is to extend the Mœglin–Tadic classification of discrete series of
classical p-adic groups to cover tempered representations of these groups. Recall that in …

[图书][B] Unitarizability in Corank Three for Classical 𝑝-adic Groups

M Tadić - 2023 - ams.org
Let $ G $ be the $ F $-points of a classical group defined over a $ p $-adic field $ F $ of
characteristic $0 $. We classify the irreducible unitarizable representation of $ G $ that are …

Discrete series of odd general spin groups

Y Kim, I Matić - Monatshefte für Mathematik, 2024 - Springer
We obtain a Mœglin–Tadić type classification of the non-cuspidal discrete series of odd
general spin groups over non-archimedean local fields of characteristic zero. Our approach …

Duality for classical 𝑝-adic groups: the half-integral case

C Jantzen - Representation Theory of the American Mathematical …, 2018 - ams.org
Let $ G $ be a classical $ p $-adic group and let $\pi $ be a smooth irreducible
representation of $ G $. In this paper, we consider the problem of calculating the dual (in the …

Representations induced from the Zelevinsky segment and discrete series in the half-integral case

I Matić - Forum mathematicum, 2021 - degruyter.com
Let G n denote either the group SO⁢(2⁢ n+ 1, F) or Sp⁢(2⁢ n, F) over a non-archimedean
local field of characteristic different than two. We study parabolically induced representations …

Degenerate principal series for classical and odd GSpin groups in the general case

Y Kim, B Liu, I Matić - Representation Theory of the American Mathematical …, 2020 - ams.org
Let $ G_n $ denote either the group $ SO (2n+ 1, F) $, $ Sp (2n, F) $, or $ G {\mathrm
{Spin}}(2n+ 1, F) $ over a non-archimedean local field of characteristic different from two. We …

On Unitarizability in the Case of Classical p-Adic Groups

M Tadić - Geometric Aspects of the Trace Formula 2, 2018 - Springer
In the introduction of this paper we discuss a possible approach to the unitarizability problem
for classical p-adic groups. In this paper we give some very limited support that such …

Reducibility of representations induced from the Zelevinsky segment and discrete series

I Matić - manuscripta mathematica, 2021 - Springer
Let G_n G n denote either the group SO (2n+ 1, F) SO (2 n+ 1, F) or Sp (2 n, F) over a non-
archimedean local field. We determine the reducibility criteria for a parabolically induced …

ON-DISTINGUISHED REPRESENTATIONS OF THE QUASI-SPLIT UNITARY GROUPS

A Mitra, O Offen - Journal of the Institute of Mathematics of Jussieu, 2021 - cambridge.org
We study Sp2n (F)-distinction for representations of the quasi-split unitary group U2n (E/F) in
2n variables with respect to a quadratic extension E/F of p-adic fields. A conjecture of Dijols …