7 citations · 8 across the 7 of their papers we have counts for
7 papers
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…
Cartan--Helgason theorem for quaternionic symmetric and twistor spaces
Clemens Weiske, Jun Yu, Genkai Zhang
Let be a complex quaternionic symmetric pair with having an ideal , $\mathfrak{k}=\mathfrak{sl}(2, \math…
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…
Heisenberg parabolically induced representations of Hermitian Lie groups, Part I: Unitarity and subrepresentations
Jan Frahm, Clemens Weiske, Genkai Zhang
For a Hermitian Lie group , we study the family of representations induced from a character of the maximal parabolic subgroup whose unipotent radical is a Heisenberg…
Branching of unitary -representations with non-trivial -cohomology
Clemens Weiske
Let with maximal compact subgroup and let be a unitary irreducible representation of with non-trivial -cohomology. Then $Π…
Symmetry breaking operators for real reductive groups of rank one
Jan Frahm, Clemens Weiske
For a pair of real reductive groups we consider the space of intertwining operators between spherical principal series representations …
Symmetry breaking operators for line bundles over real projective spaces
Jan Frahm, Clemens Weiske
The space of smooth sections of an equivariant line bundle over the real projective space forms a natural representation of the group ${\rm GL}(n+1,\mathbb{R}…