Analysis in space-time bundles. II: The spinor and form bundles
type: Item
instance of: scholarly article
title: Analysis in space-time bundles. II: The spinor and form bundles
zbMATH Open document ID: 0535.58020
DOI: 10.1016/0022-1236(82)90073-8
author: Stephen M. Paneitz
author: Irving E. Segal
published in: Journal of Functional Analysis
publication date: 1982-01-01T00:00:00Z
review text: [For part I see the preceding review.] In the present paper, the authors extend their investigation begun in part I to consider the cases of spinor and form bundles on a model of space-time which appears to be particularly natural from the standpoints of causality, summetry, and universality. Their study include invariant wave equations (those of Dirac and Maxwell); their solution manifolds and various stable invariant subspaces of section spaces of the bundles; the indecomposability of the relevant invariant subspace chains; explicit parallelizations of the bundles; a basis for spinor fields which diagonalize certain covariant quantum numbers; and local multilinear invariants of bundles including their specialization to Fermi and Yukawa interaction Langrangians. Contents include and introduction, and major sections devoted to duals, invariants, weights; the spinor bundle; the form bundle; the Fermi and Yukawa Lagrangians; and an errata for the previous paper. For part III see the following review.
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 55R10
Mathematics Subject Classification ID: 81T20
zbMATH DE Number: 3850132
zbMATH Keywords: spinor and form bundles
zbMATH Keywords: invariant wave equations
zbMATH Keywords: interaction Lagrangians
zbMATH Keywords: ZFM 535.58019
zbMATH Keywords: ZFM 535.58021
zbMATH Keywords: covariant quantum numbers
zbMATH Keywords: Fermi and Yukawa Lagrangians
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
full work available at URL: 0022-1236(82)90073-8
OpenAlex ID: W1979290823
cites work: Analysis in space-time bundles. I: General considerations and the scalar bundle
cites work: Q5824493
cites work: Q5593911
cites work: Q3246876
description: scientific article; zbMATH DE number 3850132