Symmetry breaking differential operators for tensor products of spinorial representations

DOI10.3842/SIGMA.2021.049zbMath1476.43008arXiv2012.09625OpenAlexW3110739088MaRDI QIDQ2035736

Jean-Louis Clerc, Khalid Koufany

Publication date: 25 June 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.09625

zbMATH Keywords

spinorsClifford algebratensor productsymmetry breaking differential operatorsconformal analysis

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Invariance and symmetry properties for PDEs on manifolds (58J70) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Cites Work

• Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs
• Singular invariant trilinear forms and covariant (bi-)differential operators under the conformal group
• Symmetry breaking differential operators, the source operator and Rodrigues formulae
• Conformally covariant bi-differential operators for differential forms
• Bernstein-Sato identities and conformal symmetry breaking operators
• F-method for symmetry breaking operators
• Conformally Covariant Bi-differential Operators on a Simple Real Jordan Algebra
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