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 …

On the local factors of representations of classical groups

EM Lapid, S Rallis - … , L-functions and applications: progress and …, 2005 - degruyter.com
We elaborate on the local aspects of the doubling method of Piatetski-Shapiro and Rallis
and define the local factors of representations of classical groups. In particular, we …

[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 …

Degenerate principal series representations forU(n, n)

SS Kudla, W Jay Sweet - Israel Journal of Mathematics, 1997 - Springer
For a quadratic extension E/F of a nonarchimedean local field of characteristic other than 2,
let G= U (n, n) be the quasisplit unitary group of rank n, and let P be the maximal parabolic …

On supports of induced representations for symplectic and odd-orthogonal groups

C Jantzen - American Journal of Mathematics, 1997 - muse.jhu.edu
Let G be Sp (2n, F)(resp. SO (2n+ 1, F)), where F is a p-adic field of characteristic zero. In this
paper, we give a correspondence which associates to an irreducible representation π of G …

Composition series of generalized principal series; the case of strongly positive discrete series

G Muić - Israel journal of mathematics, 2004 - croris.hr
Sažetak In the paper are completely determined reducibility points of generalized principal
series in the generalized rank one, in the case of classical p-adic groups when on the …

Exceptional-correspondences I

K Magaard, G Savin - Compositio Mathematica, 1997 - cambridge.org
Exceptional $\Theta$-Correspondences I Page 1 Compositio Mathematica 107: 89–123,
1997. 89 c 1997 Kluwer Academic Publishers. Printed in the Netherlands. Exceptional -Correspondences …

On regular square integrable representations of p-adic groups

M Tadic - American Journal of Mathematics, 1998 - muse.jhu.edu
We study the problem of construction of noncuspidal irreducible square integrable
representations of classical p-adic groups, and questions related to it. Starting from cuspidal …

Degenerate principal series representations for quaternionic unitary groups

S Yamana - Israel Journal of Mathematics, 2011 - Springer
We give a complete description of all points of reducibility and the composition series of the
degenerate principal series representations for quaternionic unitary groups which are …

Degenerate principal series for even-orthogonal groups

D Ban, C Jantzen - Representation Theory of the American Mathematical …, 2003 - ams.org
Let $ F $ be a $ p $-adic field of characteristic 0 and $ G= O (2n, F) $(resp. $ SO (2n, F) $). A
maximal parabolic subgroup of $ G $ has the form $ P= MU $, with Levi factor $ M\cong GL …