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Principal covariants, multiplicity-free actions, and the K-types of holomorphic series

Howe, Roger and Kraft, Hanspeter. (1997) Principal covariants, multiplicity-free actions, and the K-types of holomorphic series. Progress in mathematics, 158. pp. 147-161.

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Official URL: http://edoc.unibas.ch/dok/A5842780

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Abstract

We prove a result on the structure of the $K$-types for holomorphic discrete series of $Sp(2n,R)$. The proof applies the theory of multiplicity-free actions to the realization of holomorphic discrete series by means of the dual pair $(Sp_{2n}, O_m)$.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Kraft)
UniBasel Contributors:Kraft, Hanspeter
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Note:Also published in: Geometry and representation theory of real and p-adic groups. - Boston : Birkhäuser, 1997. - S. 147-161 -- Publication type according to Uni Basel Research Database: Journal article
Language:English
Identification Number:
Last Modified:21 Sep 2017 06:56
Deposited On:08 Jun 2012 06:47

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