J. Clerc

activity

20172021

collaborators

5 papers

math.RT2021

Construction à la Ibukiyama of symmetry breaking differential operators, I

Jean-Louis Clerc

The construction of symmetry breaking differential operators, using invariant pluri-harmonic polynomials, due to T. Ibukiyama in the context of the Siegel upper half space, is exte…

math.RT2019

Symmetry breaking differential operators, the source operator and Rodrigues formulæ

Jean-Louis Clerc

A Rodrigues type formula is obtained for the symbols of the covariant bi-differential operators on a simple Jordan algebra.

math.RT2018

Conformally covariant bi-differential operators for differential forms

Salem Ben Saïd, Jean-Louis Clerc, Khalid Koufany

The classical Rankin-Cohen brackets are bi-differential operators from $C^{\infty} (R) \times C^{\infty} (R)$ into $C^{\infty} (R)$ . They are covariant for the (diag…

math.DG2018

The symplectic area of a geodesic triangle in a Hermitian symmetric space of compact type

Mads Aunskjær Bech, Jean-Louis Clerc, Bent Ørsted

Let $M$ be an irreducible Hermitian symmetric space of compact type, and let $ω$ be its Kähler form. For a triplet $(p_{1}, p_{2}, p_{3})$ of points in $M$ we study conditions under which…

math.RT2017

Conformally covariant differential operators for the diagonal action of O(p, q) on real quadrics

Jean-Louis Clerc

Let $X = G / P$ be a real projective quadric, where $G = O (p, q)$ and $P$ is a parabolic subgroup of $G$ . Let $\left(π_{λ,ε}, \mathcal{H}_{λ,ε}\right)_{ (λ,ε)\in \mathbb {C}\times \{\pm\}…