A proof of the Howe duality conjecture Page 1 JOURNAL OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 29, Number 2, April 2016, Pages 473–493 http://dx.doi.org/10.1090/jams/839 …

The classification of irreducible square integrable representations of classical $ p $-adic
groups is completed in this paper, under a natural local assumption. Further, this …

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 …

In this paper, we give an explicit computable algorithm for the Zelevinsky–Aubert duals of
irreducible representations of-adic symplectic and odd special orthogonal groups. To do …

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 …

Certain nontempered liftings from PGL (2)× PGL (2) to PGSp (4) are constructed using the
theory of (local and global) theta lifts. The resulting representations on PGSp (4) are the …

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 …

We classify the irreducible unitarizable representations ofclassical groups over a local field
of characteristic 0 which admit a Whittaker model with respect to a nondegenerate character …

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 …

Abstract Let\(G_n\) be an inner form of a general linear group over a non-Archimedean local
field. We fix an arbitrary irreducible representation\(\sigma\) of\(G_n\). Building on the work of …