Robin van Haastrecht

collaborators

3 papers

math.RT2026

Commutativity of invariant differential operators on vector bundles on Hermitian symmetric spaces

Robin van Haastrecht, Genkai Zhang, Yufeng Zhao

Let $G / K$ be a Hermitian symmetric space and $V_{I ¨} $ an irreducible representation of $K$ . We study the ring $D^{G} (G / K, V_{I ¨} )$ of $G$ -invariant differential operators on sec…

math.RT2026

On the degenerate principal series of $G_{2 (2)}$ induced from a Heisenberg parabolic subgroup

Jan Frahm, Robin van Haastrecht, Clemens Weiske +1

We study degenerate principal series representations of the split real group $G_{2 (2)}$ induced from a character of a maximal parabolic subgroup whose unipotent radical is a Heisen…

math.RT2025

Wehrl inequalities for matrix coefficients of holomorphic discrete series

Robin van Haastrecht, Genkai Zhang

We prove Wehrl-type $L^{2} (G) - L^{p} (G)$ inequalities for matrix coefficients of vector-valued holomorphic discrete series of $G$ , for even integers $p = 2 n$ . The optimal constant is ex…

Commutativity of invariant differential operators on vector bundles on Hermitian symmetric spaces

On the degenerate principal series of G2(2)​ induced from a Heisenberg parabolic subgroup

Wehrl inequalities for matrix coefficients of holomorphic discrete series

On the degenerate principal series of $G_{2 (2)}$ induced from a Heisenberg parabolic subgroup