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Currently displaying 1 – 3 of 3

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A Series of Unitary Irreducible Representations Induced from a Symmetric Subgroup of a Semisimple Lie Group.

Henrik Schlichtkrull — 1982

Inventiones mathematicae

One-dimensional K-types in finite dimensional representations of semisimple Lie groups: A generalization of Helgason's theorem.

Henrik Schlichtkrull — 1984

Mathematica Scandinavica

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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