Clemens Weiske

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20182026

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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.RT2023

Cartan--Helgason theorem for quaternionic symmetric and twistor spaces

Clemens Weiske, Jun Yu, Genkai Zhang

Let $(g, k)$ be a complex quaternionic symmetric pair with $k$ having an ideal $sl (2, C)$ , $\mathfrak{k}=\mathfrak{sl}(2, \math…

math.RT2023

Heisenberg parabolically induced representations of Hermitian Lie groups, Part II: Next-to-minimal representations and branching rules

Jan Frahm, Clemens Weiske, Genkai Zhang

Every simple Hermitian Lie group has a unique family of spherical representations induced from a maximal parabolic subgroup whose unipotent radical is a Heisenberg group. For most…

math.RT2018

Symmetry breaking operators for real reductive groups of rank one

Jan Frahm, Clemens Weiske

For a pair of real reductive groups $G^{'} \subset G$ we consider the space $Hom_{G^{'}} (π ∣_{G^{'}}, τ)$ of intertwining operators between spherical principal series representations $π$ …

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

Cartan--Helgason theorem for quaternionic symmetric and twistor spaces

Heisenberg parabolically induced representations of Hermitian Lie groups, Part II: Next-to-minimal representations and branching rules

Symmetry breaking operators for real reductive groups of rank one

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