P. Broussous

activity

20042024

most citedBuildings of classical groups and centralizers of Lie algebra elements

6 citations · 8 across the 10 of their papers we have counts for

collaborators

14 papers

math.RT2024

A distinction criterion for Iwahori-spherical representations

Paul Broussous

Let $G / H$ be a Galois symmetric space for an unramified quadratic extension of a locally compact field $F$ , where the group $H$ is semisimple, simply connected, defined and split o…

math.RT2020

On the distinction of Iwahori-spherical representations

Paul Broussous

Let $E / F$ be a quadratic unramified extension of non-archimedean local fields and $H$ a simply connected semisimple algebraic group defined and split over $F$ . We establish…

math.RT2020★ 1 cited

Explicit matrix coefficients and test vectors for discrete series representations

Paul Broussous

For the discrete series representations of $GL (n)$ over a non-archimedean local field $F$ , we define a notion of functions similar to "zonal spherical functions" for unramifi…

math.RT2019

Multiplicity one for pairs of Prasad--Takloo-Bighash type

Paul Broussous, Nadir Matringe

Let $E / F$ be a quadratic extension of non-archimedean local fields of characteristic different from $2$ . Let $A$ be an $F$ -central simple algebra of even dimension so that it conta…

math.RT2018

Branching laws for the Steinberg representation: the rank 1 case

Paul Broussous

Let $G / H$ be a reductive symmetric space over a $p$ -adic field $F$ , the algebraic groups $G$ and $H$ being assumed semisimple of relative rank $1$ . One of the branching problems fo…

math.RT2017

Distinction of representations via Bruhat-Tits buildings of p-adic groups

Paul Broussous

Introductory and pedagogical treatmeant of the article : P. Broussous "Distinction of the Steinberg representation", with an appendix by François Courtès, IMRN 2014, no 11, 3140-31…