Analysis in space-time bundles. III: Higher spin bundles

DOI10.1016/0022-1236(83)90041-1zbMath0535.58021OpenAlexW2053079316MaRDI QIDQ791211

Stephen M. Paneitz

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90041-1

zbMATH Keywords

Dirac operatorMaxwell equationsconformal invariancespinor and form bundlesuniversal cosmosZFM 535.58019ZFM 535. 58020

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Applications of global differential geometry to the sciences (53C80) Geometric quantization (53D50) Fiber bundles in algebraic topology (55R10)

Related Items

Group representations arising from Lorentz conformal geometry, Determination of invariant convex cones in simple Lie algebras, Harmonic analysis on spannors, Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations, Spinor structure and internal symmetries, Real spinor fields and the electroweak interaction, Spinor currents as vector particles, Convergence of nonlinear massive quantum field theory in the Einstein universe, Representations of differential operators on a Lie group, and conditions for a Lie algebra of operators to generate a representation of the group, Some comments on the work of I. E. Segal on group representations

Cites Work

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• Determination of invariant convex cones in simple Lie algebras
• Degenerate series representations of the universal covering group of SU(2,2)
• Analysis in space-time bundles. I: General considerations and the scalar bundle
• Analysis in space-time bundles. II: The spinor and form bundles
• Hermitian symmetric spaces and their unitary highest weight modules
• Cohomology and massless fields
• Invariant convex cones and causality in semisimple Lie algebras and groups
• Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
• Some properties of squareintegrable representations of semisimple Lie groups
• Wave and Dirac operators, and representations of the conformal group
• Hermitian Lie Algebras and Metaplectic Representations. I
• General properties of the Yang-Mills equations in physical space
• Group Theoretical Discussion of Relativistic Wave Equations