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Vanishing properties of analytically continued matrix coefficients.

Krötz, Bernhard; Otto, Michael — 2002

Journal of Lie Theory

On hyperbolic cones and mixed symmetric spaces.

Krötz, Bernhard; Neeb, Karl-Hermann — 1996

Journal of Lie Theory

Norm estimates for unitarizable highest weight modules

Bernhard Krötz — 1999

Annales de l'institut Fourier

We consider families of unitarizable highest weight modules $(ℋ_{λ})_{λ \in L}$ on a halfline $L$ . All these modules can be realized as vector valued holomorphic functions on a bounded symmetric domain $𝒟$ , and the polynomial functions form a dense subset of each module $ℋ_{λ}$ , $λ \in L$ . In this paper we compare the norm of a fixed polynomial in two Hilbert spaces corresponding to two different parameters. As an application we obtain that for all $λ \in L$ the module of hyperfunction vectors $ℋ_{λ}^{- \infty}$ can be realized as the space of all holomorphic...

Finite orbit decomposition of real flag manifolds

Bernhard Krötz; Henrik Schlichtkrull — 2016

Journal of the European Mathematical Society

Let $G$ be a connected real semi-simple Lie group and $H$ a closed connected subgroup. Let $P$ be a minimal parabolic subgroup of $G$ . It is shown that $H$ has an open orbit on the flag manifold $G / P$ if and only if it has finitely many orbits on $G / P$ . This confirms a conjecture by T. Matsuki.

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