Representations of the infinite-dimensional p-adic affine group

Infinite-dimensional Group Representations

Classification of two dimensional trianguline representations of p-adic fields

The aim of this paper is to classify two dimensional trianguline representations of padic fields. This is a generalization of a result of Colmez who classified two dimensional trianguline representations of Gal(Q̄p/Qp) by using (φ,Γ)-modules over Robba ring. In this paper, we classify two dimensional trianguline representations of Gal(K̄/K) for general p-adic field K by using B-pairs defined by B...

TORSION p-ADIC GALOIS REPRESENTATIONS

Let p be a prime, K a finite extension of Qp and T a finite free Zp-representation of Gal(K̄/K). We prove that T ⊗Zp Qp is semi-stable (resp., crystalline) with Hodge-Tate weights in {0, . . . , r} if and only if for all n, T/pnT is torsion semi-stable (resp., crystalline) with Hodge-Tate weights in {0, . . . , r}. Résumé. (Représentations galoisiennnes p-adiques de torsion) Soient p un nombre p...

ON UNITARY UNIPOTENT REPRESENTATIONS OF p-ADIC GROUPS AND AFFINE HECKE ALGEBRAS WITH UNEQUAL PARAMETERS

We determine the unitary dual of the geometric graded Hecke algebras with unequal parameters which appear in Lusztig’s classification of unipotent representations for exceptional p-adic groups. The largest such algebra is of type F4. Via the Barbasch-Moy correspondence of unitarity applied to this setting, this is equivalent to the identification of the corresponding unitary unipotent represent...

EXTENSIONS OF REPRESENTATIONS OF p-ADIC GROUPS

We calculate extensions between certain irreducible admissible representations of p-adic groups. To Hiroshi Saito, in memoriam