3 papers
math.RT2025
Differential symmetry breaking operators for the pair
Jonathan Ditlevsen, Quentin Labriet
In this article we study differential symmetry breaking operators between principal series representations induced from minimal parabolic subgroups for the pair $(\operatorname{GL}…
math.RT2023
Identities for Rankin-Cohen brackets, Racah coefficients and associativity
Quentin Labriet, Loic Poulain d'Andecy
We prove an infinite family of identities satisfied by the Rankin-Cohen brackets involving the Racah polynomials. A natural interpretation in the representation theory of sl(2) is…
math.RT2023
Restricting holomorphic discrete series representations to a compact dual pair
Jan Frahm, Quentin Labriet
The goal of this article is to study the branching problem for a holomorphic discrete series representation of the conformal group of a simple Euclidean Jordan algebra restrict…