Symplectic Models for Unitary Groups Sarah Dijols and Dipendra Prasad

Symplectic Local Root Numbers, Central Critical L-values, and Restriction Problems in the Representation Theory of Classical Groups Wee Teck Gan, Benedict H. Gross and Dipendra Prasad

Theta Correspondence for Unitary Groups

In this paper we study the theta correspondence for Unitary groups of the same size over local and global fields. This correspondence has been studied in many cases by several authors. We are able to unify and generalise all these known results in terms of two conjectures, one local and the other global. These conjectures are in terms of the parametrisation of irreducible admissible representat...

On Certain Multiplicity One Theorems

We prove several multiplicity one theorems in this paper. For k a local field not of characteristic two, and V a symplectic space over k, any irreducible admissible representation of the symplectic similitude group GSp(V ) decomposes with multiplicity one when restricted to the symplectic group Sp(V ). We prove the analogous result for GO(V ) and O(V ), where V is an orthogonal space over k. Wh...

Restrictions of Representations of Classical Groups: Examples Wee Teck Gan, Benedict H. Gross and Dipendra Prasad

Some bounds on unitary duals of classical groups‎ - ‎non-archimeden case

‎We first give bounds for domains where the unitarizabile subquotients can show up in the parabolically induced representations of classical $p$-adic groups‎. ‎Roughly‎, ‎they can show up only if the‎ ‎central character of the inducing irreducible cuspidal representation is dominated by the‎ ‎square root of the modular character of the minimal parabolic subgroup‎. ‎For unitarizable subquotients...