The spectra of 1-forms on simply connected compact irreducible Riemannian symmetric spaces
type: Item
instance of: scholarly article
title: The spectra of 1-forms on simply connected compact irreducible Riemannian symmetric spaces
zbMATH Open document ID: 0565.58041
author: Eiji Kaneda
published in: Journal of Mathematics of Kyoto University
publication date: 1983-01-01T00:00:00Z
review text: Let G/K be a simply connected irreducible Riemannian symmetric space. The spectrum of the Laplacian on \(\Lambda^ 1(G/K)\) is essentially a problem in the representation theory of G. The author determines the multiplicities of the representations involved assuming that one of two conditions is imposed. This is closely related to work of Dzyadyk. The author considers in detail the examples \(SU(p+1)/S(U(p)\times U(q))\) and \(G_ 2/SU(2)\times SU(2)\).
reviewed by: Peter B. Gilkey
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 3901706
zbMATH Keywords: multiplicities of representations
zbMATH Keywords: irreducible Riemannian symmetric space
zbMATH Keywords: spectrum of the Laplacian
zbMATH Keywords: representation theory
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250521565
OpenAlex ID: W1511135231
Wikidata QID: Q115240387
DOI: 10.1215/KJM/1250521565
description: scientific article; zbMATH DE number 3901706