Multiplicity bounds and the subrepresentation theorem for real spherical spaces
Representation Theory
2017-11-27 v2
Abstract
Let G be a real semi-simple Lie group and H a closed subgroup which admits an open orbit on the flag manifold of a minimal parabolic subgroup. Let V be a Harish-Chandra module. A sharp finite bound is given for the dimension of the space of H-fixed distribution vectors for V and a related subrepresentation theorem is derived. Extended final version. To appear in Trans. Amer. Math. Soc.
Cite
@article{arxiv.1309.0930,
title = {Multiplicity bounds and the subrepresentation theorem for real spherical spaces},
author = {Bernhard Krötz and Henrik Schlichtkrull},
journal= {arXiv preprint arXiv:1309.0930},
year = {2017}
}
Comments
18 pages