A multiplicity one theorem for holomorphically induced representations
type: Item
instance of: scholarly article
title: A multiplicity one theorem for holomorphically induced representations
zbMATH Open document ID: 0598.22009
DOI: 10.1007/BF01179428
author: Brian D. Boe
author: David H. Collingwood
published in: Mathematische Zeitschrift
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173734
review text: Given an irreducible Hermitian symmetric pair (G,K), of the non-compact type, one has associated a family of holomorphically induced representations, the so-called continuations of holomorphic discrete series. These representations are highest weight modules. In this note, in the integral case, the authors prove that the irreducible composition factors of these highest weight modules occur with multiplicity one.
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B20
zbMATH DE Number: 3964214
zbMATH Keywords: semisimple Lie algebra
zbMATH Keywords: holomorphically induced representations
zbMATH Keywords: highest weight modules
zbMATH Keywords: composition factors
reviewed by: Birgit Speh
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3964214