Q. Labriet

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math.RT2026

Exceptional theta correspondences via Plancherel formulas for rank one symmetric spaces

Jan Frahm, Quentin Labriet

We consider the minimal representation of (a finite cover of) the conformal group of a simple split Jordan algebra over $R$ or $C$ , whenever it exists. The confor…

math.RT2026

Little $q$ -Jacobi polynomials and symmetry breaking operators for $U_{q} (s l_{2})$

Quentin Labriet, LoÃ¯c Poulain d'Andecy

This paper presents explicit formulas for intertwining operators of the quantum group $U_{q} (s l_{2})$ acting on tensor products of Verma modules. We express a first set of intertwining…

math.RT2025

Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way

The rank two Jacobi algebra $J_{2}$ is used to provide an interpretation of the two-variable Jacobi polynomials $J_{n, k}^{(a, b, c)} (x, y)$ on the triangle, as overlaps betwee…

math.RT2025

Differential symmetry breaking operators for the pair $(GL_{n + 1} (R), GL_{n} (R))$

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}…

Exceptional theta correspondences via Plancherel formulas for rank one symmetric spaces

Little q-Jacobi polynomials and symmetry breaking operators for Uq​(sl2​)

Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way

Differential symmetry breaking operators for the pair (GLn+1​(R),GLn​(R))

Little $q$ -Jacobi polynomials and symmetry breaking operators for $U_{q} (s l_{2})$

Differential symmetry breaking operators for the pair $(GL_{n + 1} (R), GL_{n} (R))$