Symmetry Breaking Differential Operators for Tensor Products of Spinorial Representations

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• Hauptverfasser: Clerc, Jean-Louis, Koufany, Khalid
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211300
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Symmetry Breaking Differential Operators for Tensor Products of Spinorial Representations. Jean-Louis Clerc and Khalid Koufany. SIGMA 17 (2021), 049, 23 pages

Let be a Clifford module for the complexified Clifford algebra ℂℓ(ℝⁿ), ′ its dual, ρ and ρ′ be the corresponding representations of the spin group Spin(). The group G=Spin(1, +1) is a (twofold) covering of the conformal group of ℝⁿ. For λ, μ ∈ ℂ, let πρ,λ (resp. πρ′,μ) be the spinorial representati...