The spectrum of the Dirac operator on \(G_2/SO(4)\)
type: Item
instance of: scholarly article
title: The spectrum of the Dirac operator on \(G_2/SO(4)\)
zbMATH Open document ID: 0935.58017
DOI: 10.1023/A:1006513104421
author: Lutz Seeger
published in: Annals of Global Analysis and Geometry
publication date: 2000-04-25T00:00:00Z
review text: This paper determines the spectrum of the Dirac operator on the exceptional compact symmetric space \(G_2/SO(4)\) using Parthasarathy's formula and classical harmonic analysis. The necessary branching rules for the exceptional Lie group \(G_2\) and the subgroup \(SO(4)\) are given -- this shows how the restriction of an irreducible \(G_2\) representation decomposes into irreducible \(SO(4)\) representations.
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 17B25
zbMATH DE Number: 1340155
zbMATH Keywords: branching rules
zbMATH Keywords: Dirac operator
zbMATH Keywords: exceptional Lie algebra
zbMATH Keywords: spectrum
reviewed by: Peter B. Gilkey
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1340155