[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 …

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 …

Discrete series of odd general spin groups

Y Kim, I Matić - arXiv preprint arXiv:1706.01111, 2017 - arxiv.org
We obtain a classification of discrete series representations of odd general spin groups,
generalizing the M {\oe} glin-Tadi\'c classification for classical groups. Using mostly …

On discrete series subrepresentations of the generalized principal series

I Matić - Glasnik matematički, 2016 - hrcak.srce.hr
Sažetak We study a family of the generalized principal series and obtain necessary and
sufficient conditions under which the induced representation of studied form contains a …

Aubert duals of discrete series: the first inductive step

I Matić - Glasnik matematički, 2019 - hrcak.srce.hr
Sažetak Let Gn denote either symplectic or odd special orthogonal group of rank n over a
non-archimedean local field F. We provide an explicit description of the Aubert duals of …

Aubert duals of strongly positive discrete series and a class of unitarizable representations

I Matić - Proceedings of the American Mathematical Society, 2017 - ams.org
Let $ G_n $ denote either the group $ Sp (n, F) $ or $ SO (2n+ 1, F) $ over a non-
archimedean local field $ F $. We explicitly determine the Aubert duals of strongly positive …

Jacquet modules and irrreducibility of induced representations for classical p-adic groups

C Jantzen - manuscripta mathematica, 2018 - Springer
Let G be a classical p-adic group. If T is an irreducible tempered representation of such a
group and ρ ρ an irreducible unitary supercuspidal representation of a general linear group …