Classification of differential symmetry breaking operators for differential forms

DOI10.1016/j.crma.2016.04.012zbMath1341.58002arXiv1605.05722OpenAlexW2394912874MaRDI QIDQ292514

Toshihisa Kubo, Toshiyuki Kobayashi, Michael Pevzner

Publication date: 8 June 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05722

zbMATH Keywords

classificationdifferential formsconformally covariant differential operators

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Differential forms in global analysis (58A10) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Differential geometry of symmetric spaces (53C35)

Related Items (1)

Residue formula for regular symmetry breaking operators

Cites Work

• Differential symmetry breaking operators. I: General theory and F-method
• Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs
• Branching laws for Verma modules and applications in parabolic geometry. I
• A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
• Families of conformally covariant differential operators, Q-curvature and holography
• F-method for symmetry breaking operators
• Symmetry breaking for representations of rank one orthogonal groups
• Conformally convariant equations on differential forms
• Conformally Invariant Powers of the Laplacian, I: Existence
• Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation

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