Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup
type: Item
instance of: scholarly article
title: Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup
zbMATH Open document ID: 0841.22011
author: Thomas Branson
author: Gestur Ólafsson
author: Bent Ørsted
published in: Journal of Functional Analysis
publication date: 1996-07-14T00:00:00Z
review text: The authors present a new way of constructing intertwining operators between principal series representations induced from maximal parabolic subgroups in the case where \(K\)-types occur with multiplicity at most 1. The so-called spectrum generating technique amounts to setting up an apparatus which will calculate the spectra of the operators, this method being applicable to bundle-valued cases. Among the applications one can notice the determination of composition series of principal series representations, and a method of deriving strong irreducibility results.
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 43A65
zbMATH DE Number: 847479
zbMATH Keywords: intertwining operators
zbMATH Keywords: principal series representations
zbMATH Keywords: parabolic subgroups
zbMATH Keywords: composition series
reviewed by: G. Loupias
MaRDI profile type: Publication
OpenAlex ID: W2030954010
DOI: 10.1006/JFAN.1996.0008
description: scientific article; zbMATH DE number 847479