9 citations · 56 across the 47 of their papers we have counts for
49 papers
On the -types of certain families of unitary highest weight representations of Hermitian Lie groups
Pavle Pand\v zić, Genkai Zhang
Let be the complexication of a Hermitian symmetric pair and let be the Harish-Chandra strongly orthogonal roots, with the lowes…
Wehrl inequalities for matrix coefficients of holomorphic discrete series
Robin van Haastrecht, Genkai Zhang
We prove Wehrl-type inequalities for matrix coefficients of vector-valued holomorphic discrete series of , for even integers . The optimal constant is ex…
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…
Weighted Bergman kernels for nearly holomorphic functions on bounded symmetric domains
Miroslav Engliš, El-Hassan Youssfi, Genkai Zhang
We~identify the standard weighted Bergman kernels of spaces of nearly holomorphic functions, in~the sense of Shimura, on~bounded symmetric domains. This also yields a description o…
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…