A Series of Unitary Irreducible Representations Induced from a Symmetric Subgroup of a Semisimple Lie Group.
Let be a connected real semi-simple Lie group and a closed connected subgroup. Let be a minimal parabolic subgroup of . It is shown that has an open orbit on the flag manifold if and only if it has finitely many orbits on . This confirms a conjecture by T. Matsuki.
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