On the cuspidal support of discrete series for p-adic quasisplit and

B Xu - manuscripta mathematica, 2017 - Springer
Zelevinsky's classification theory of discrete series of p-adic general linear groups has been
well known. Mœglin and Tadić gave the same kind of theory for p-adic classical groups …

[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 …

Intertwining operators and composition series of generalized and degenerate principal series for Sp (4, R)

G Muić - Glasnik matematički, 2009 - hrcak.srce.hr
Sažetak In this paper we study analytic properties of intertwining operators and apply them
to the determination of the composition series of degenerate and generalized principal …

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 …

Automorphic integral transforms for classical groups II: Twisted descents

D Jiang, L Zhang - Representation Theory, Number Theory, and Invariant …, 2017 - Springer
Abstract The paper (Jiang, Automorphic forms: L-functions and related geometry: assessing
the legacy of II Piatetski-Shapiro. Contemporary mathematics, vol 614. American …

On unitarizability and Arthur packets

M Tadić - manuscripta mathematica, 2022 - Springer
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[PDF][PDF] Irreducibility criterion for representations induced by essentially unitary ones (case of non-archimedean GL (n

M Tadić - Glasnik matematički, 2014 - hrcak.srce.hr
Let A be a finite dimensional central division algebra over a local non-archimedean field F.
Fix any parabolic subgroup P of GL (n, A) and a Levi factor M of P. Let π be an irreducible …

On an algebraic approach to the Zelevinsky classification for classical p-adic groups

M Hanzer, G Muić - Journal of algebra, 2008 - Elsevier
In this paper we classify irreducible, admissible representations of p-adic classical groups in
a purely algebraic way. We present a new and simple algorithm for constructing the …

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 …

Arthur parameters and Fourier coefficients for automorphic forms on symplectic groups

D Jiang, B Liu - Annales de l'Institut Fourier, 2016 - numdam.org
In the classical theory of automorphic forms, Fourier coefficients encode abundant arithmetic
information of automorphic forms on one hand. On the other hand, Fourier coefficients …