Conformal symmetry breaking differential operators on differential forms

DOI10.1090/memo/1304zbMath1491.22004arXiv1605.04517OpenAlexW3129758225MaRDI QIDQ4983687

Matthias Fischmann, Petr Somberg, Andreas Juhl

Publication date: 26 April 2021

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04517

zbMATH Keywords

singular vectorssymmetry breaking operatorsgeneralized Verma modulesbranching problemsresidue familiesBranson-Gover operatorsJacobi and Gegenbauer polynomialsQ-curvature operators

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Research exposition (monographs, survey articles) pertaining to topological groups (22-02) Higher-order elliptic equations (35J30) Sub-Riemannian geometry (53C17)

Related Items (8)

Symmetry breaking operators for strongly spherical reductive pairs ⋮ Another approach to Juhl's conformally covariant differential operators from \(S^n\) to \(S^{n-1}\) ⋮ Knapp-Stein type intertwining operators for symmetric pairs. II. The translation principle and intertwining operators for spinors ⋮ Conformally covariant bi-differential operators for differential forms ⋮ Residue formula for regular symmetry breaking operators ⋮ Conformal boundary operators, \(T\)-curvatures, and conformal fractional Laplacians of odd order ⋮ Conformal symmetry breaking differential operators on differential forms ⋮ Residue families, singular Yamabe problems and extrinsic conformal Laplacians

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