Intertwining differential operators for spinor-form representations of the conformal group

DOI10.1016/0001-8708(84)90034-3zbMath0551.53025OpenAlexW2084743007MaRDI QIDQ801304

Thomas P. Branson

Publication date: 1984

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(84)90034-3

zbMATH Keywords

Dirac operatorMaxwell's equationsspinorsconformally invariant differential operatorssecond order operators

Mathematics Subject Classification ID

Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (4)

BOCHNER–WEITZENBÖCK FORMULAS ASSOCIATED WITH THE RARITA–SCHWINGER OPERATOR ⋮ Group representations arising from Lorentz conformal geometry ⋮ Curvature actions on Spin\((n)\) bundles ⋮ Conformally covariant nonlinear equations on tensor-spinors

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• Dérivées de Lie des spineurs. (Lie derivatives of spinors)
• On a conform-invariant spinor wave equation
• Conformally convariant equations on differential forms
• Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions
• Champs spinoriels et propagateurs en relativité générale

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