[图书][B] Local newforms for GSp (4)

B Roberts, R Schmidt - 2007 - books.google.com
Local Newforms for GSp (4) describes a theory of new-and oldforms for representations of
GSp (4) over a non-archimedean local field. This theory considers vectors fixed by the …

Construction of discrete series for classical 𝑝-adic groups

C Mœglin, M Tadić - Journal of the American Mathematical Society, 2002 - ams.org
The classification of irreducible square integrable representations of classical $ p $-adic
groups is completed in this paper, under a natural local assumption. Further, this …

[PDF][PDF] Structure arising from induction and Jacquet modules of representations of classical p-adic groups

M Tadic - Journal of Algebra, 1995 - mahazu.hazu.hr
Jacquet modules are very useful in the study of parabolically induced representations of
reductive groups over a p-adic field F (we shall assume char F= 2 in this paper). It is very …

On irreducibility of standard modules for generic representations

W Casselman, F Shahidi - Annales scientifiques de l'École normale …, 1998 - Elsevier
In this paper the authors generalize a result of Vogan on irreducibility of standard modules
for generic representations from real groups to p-adic ones whenever the inducing data is …

Sur la classification des séries discretes des groupes classiques p-adiques: parametres de Langlands et exhaustivité

C Mœglin - Journal of the European Mathematical Society, 2002 - ems.press
In this paper, we are giving parameters for discrete series of classical p-adic groups. We first
define: the analogous of the Langlands morphism of WF in the L-group, part of the …

On reducibility of parabolic induction

M Tadić - Israel Journal of Mathematics, 1998 - Springer
Jacquet modules of a reducible parabolically induced representation of a reductive p-adic
group reduce in a way consistent with the transitivity of Jacquet modules. This fact can be …

Local L-functions for split spinor groups

M Asgari - Canadian Journal of Mathematics, 2002 - cambridge.org
We study the local L-functions for Levi subgroups in split spinor groups defined via the
Langlands-Shahidi method and prove a conjecture on their holomorphy in a half plane …

A proof of Casselman-Shahidi's conjecture for quasi-split classical groups

G Muić - Canadian mathematical bulletin, 2001 - cambridge.org
A Proof of Casselman-Shahidi’s Conjecture for Quasi-split Classical Groups Page 1 Canad.
Math. Bull. Vol. 44 (3), 2001 pp. 298–312 A Proof of Casselman-Shahidi’s Conjecture for …

On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups

A Ichino, E Lapid, Z Mao - 2017 - projecteuclid.org
The formal degree conjecture relates the formal degree of an irreducible square-integrable
representation of a reductive group over a local field to the special value of the adjoint γ …

Some results on square integrable representations; irreducibility of standard representations.

G Muic - IMRN: International Mathematics Research Notices, 1998 - search.ebscohost.com
The article discusses the basic structure results for classical groups and basic facts on
square integrable representation theory. It provides an overview of the formula and …