Analysis in space-time bundles. III: Higher spin bundles
type: Item
instance of: scholarly article
title: Analysis in space-time bundles. III: Higher spin bundles
zbMATH Open document ID: 0535.58021
DOI: 10.1016/0022-1236(83)90041-1
author: Stephen M. Paneitz
published in: Journal of Functional Analysis
publication date: 1983-01-01T00:00:00Z
review text: [For parts I and II see the last two reviews.] This is the third in a series of papers by the author and \textit{I. E. Segal} in which they develop a harmonic analysis of scalar and spinor bundles over a universal cosmos, i.e., a four-dimensional globally causal space-time manifold, which would be suitable for studying the Dirac and Maxwell equations, etc. In the present paper, the previous analysis is extended to include bundles and fields of arbitrary spin, and also considers conformally invariant notions. Contents include chapters on inducing representations; covariance of the Dirac operator; maximal essentially compact subgroup of the connected causal group - finite orthonormal and applications; global features of higher spin representations; spin one bundles; and errata for the previous two papers.
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 55R10
Mathematics Subject Classification ID: 81T20
zbMATH DE Number: 3850133
zbMATH Keywords: spinor and form bundles
zbMATH Keywords: Dirac operator
zbMATH Keywords: conformal invariance
zbMATH Keywords: ZFM 535.58019
zbMATH Keywords: ZFM 535. 58020
zbMATH Keywords: universal cosmos
zbMATH Keywords: Maxwell equations
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
full work available at URL: 0022-1236(83)90041-1
OpenAlex ID: W2053079316
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description: scientific article; zbMATH DE number 3850133