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Spherical unitary highest weight representations

Author(s): Bernhard Krötz; Karl-Hermann Neeb
Journal: Trans. Amer. Math. Soc. 354 (2002), 1233-1264.
MSC (1991): Primary 22E46
Posted: October 26, 2001
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Abstract: In this paper we give an almost complete classification of the $H$-spherical unitary highest weight representations of a hermitian Lie group $G$, where $G/H$ is a symmetric space of Cayley type.

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Additional Information:

Bernhard Krötz
Affiliation: Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210-1174
Email: kroetz@math.ohio-state.edu

Karl-Hermann Neeb
Affiliation: Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstr.~7, D-64289 Darmstadt, Germany
Email: neeb@mathematik.tu-darmstadt.de

DOI: 10.1090/S0002-9947-01-02897-5
PII: S 0002-9947(01)02897-5
Keywords: Highest weight representation, spherical representation
Received by editor(s): March 7, 2001
Posted: October 26, 2001
Additional Notes: Part of the work of the first author was supported by the Erwin-Schrödinger-Institut, Vienna, and NSF grant DMS-0097314
Part of the work of the second author was done on a visit supported by the Research Institute of The Ohio State University
Copyright of article: Copyright 2001, American Mathematical Society

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