Decomposition of the spinor bundle of a quaternionic Kähler spin-manifold under the action of the fundamental 4-form
type: Item
instance of: scholarly article
title: Decomposition of the spinor bundle of a quaternionic Kähler spin-manifold under the action of the fundamental 4-form
zbMATH Open document ID: 0821.53012
DOI: 10.1016/0393-0440(94)00021-U
author: Oussama Hijazi
author: Jean-Louis Milhorat
published in: Journal of Geometry and Physics
publication date: 1995-09-12T00:00:00Z
review text: The authors give the spectral decomposition of the spin bundle under the action of the fundamental 4-form \(\Omega\) on a spin quaternionic Kähler manifold \(M^{4m}\). The eigenvalues of \(\Omega\) are computed. The proof results of the study of the decomposition of the spin representation into irreducible components under the action of the group \(\text{Sp}(1) \times \text{Sp}(m)\).
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 81R25
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 745335
zbMATH Keywords: spinors
zbMATH Keywords: quaternions
zbMATH Keywords: Kähler manifolds
zbMATH Keywords: spectral decomposition
reviewed by: Bernard Rouxel
MaRDI profile type: Publication
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full work available at URL: 0393-0440(94)00021-u
OpenAlex ID: W2004268435
description: scientific article; zbMATH DE number 745335