activity
20242026
collaborators

5 papers

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 or , whenever it exists. The confor…

math.RT2026

On the degenerate principal series of 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 induced from a character of a maximal parabolic subgroup whose unipotent radical is a Heisen…

math.RT2025

Branching laws for Stein's complementary series and Speh representations of

Jonathan Ditlevsen, Jan Frahm

We obtain the explicit direct integral decomposition of Stein's complementary series representations and Speh representations of when restricted…

math.RT2024

The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula

Jan Frahm, Gestur Ólafsson, Bent Ørsted

For a Hermitian Lie group of tube type we find the contribution of the holomorphic discrete series to the Plancherel decomposition of the Whittaker space , where $…

math.RT2024

Conformally invariant differential operators on Heisenberg groups and minimal representations

Jan Frahm

For a simple real Lie group with Heisenberg parabolic subgroup , we study the corresponding degenerate principal series representations. For a certain induction parameter th…