Multiplicity bounds and the subrepresentation theorem for real spherical spaces
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- by Bernhard Krötz and Henrik Schlichtkrull PDF
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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 uniform finite bound is given for the dimension of the space of $H$-fixed distribution vectors for $V$, and a related subrepresentation theorem is derived.References
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Additional Information
- Bernhard Krötz
- Affiliation: Institut für Mathematik, Universität Paderborn, Warburger Straße 100, D-33098 Paderborn, Germany
- Email: bkroetz@math.uni-paderborn.de
- Henrik Schlichtkrull
- Affiliation: Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark
- MR Author ID: 156155
- ORCID: 0000-0002-4681-3563
- Email: schlicht@math.ku.dk
- Received by editor(s): September 4, 2013
- Received by editor(s) in revised form: November 22, 2013, January 14, 2014, and March 8, 2014
- Published electronically: November 24, 2014
- © Copyright 2014 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 2749-2762
- MSC (2010): Primary 22E45, 43A85
- DOI: https://doi.org/10.1090/S0002-9947-2014-06427-1
- MathSciNet review: 3449256