Branching laws for Verma modules and applications in parabolic geometry. I

DOI10.1016/j.aim.2015.08.020zbMath1327.53044arXiv1305.6040OpenAlexW2963200289MaRDI QIDQ887349

Toshiyuki Kobayashi, Petr Somberg, Vladimír Souček, Bent Orsted

Publication date: 28 October 2015

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

Full work available at URL: https://arxiv.org/abs/1305.6040

zbMATH Keywords

conformal geometryVerma modulesymmetric pairsparabolic geometrybranching lawequivariant differential operatorF-method

Mathematics Subject Classification ID

Related Items (32)

Knapp-Stein type intertwining operators for symmetric pairs ⋮ Differential symmetry breaking operators. I: General theory and F-method ⋮ Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs ⋮ On Reducibility Criterions for Scalar Generalized Verma Modules Associated to Maximal Parabolic Subalgebras ⋮ Shift operators, residue families and degenerate Laplacians ⋮ Classification of differential symmetry breaking operators for differential forms ⋮ Conformal higher-spin gravity: linearized spectrum = symmetry algebra ⋮ F-method for symmetry breaking operators ⋮ Singular conformally invariant trilinear forms. I: The multiplicity one theorem ⋮ Higher Dirac cohomology of modules with generalized infinitesimal character ⋮ Conformal Symmetry Breaking Operators for Anti-de Sitter Spaces ⋮ Algebraic analysis of scalar generalized Verma modules of Heisenberg parabolic type I: \(\mathsf{A}_{n}\)-series ⋮ Symmetry breaking for representations of rank one orthogonal groups ⋮ Unnamed Item ⋮ Symmetry breaking operators for real reductive groups of rank one ⋮ Computation of weighted Bergman inner products on bounded symmetric domains and restriction to subgroups ⋮ Branching laws for Verma modules and applications in parabolic geometry. I ⋮ Conformally covariant differential symmetry breaking operators for a vector bundle of rank 3 on S3 ⋮ Computation of weighted Bergman inner products on bounded symmetric domains and Parseval-Plancherel-type formulas under subgroups ⋮ Dirac cohomology for the BGG category \(\mathcal{O} \) ⋮ Differential invariants on symplectic spinors in contact projective geometry ⋮ Equivariant differential operators on spinors in conformal geometry ⋮ Conformal Galilei algebras, symmetric polynomials and singular vectors ⋮ Knapp-Stein type intertwining operators for symmetric pairs. II. The translation principle and intertwining operators for spinors ⋮ Residue formula for regular symmetry breaking operators ⋮ Conformal symmetry breaking differential operators on differential forms ⋮ Bernstein-Sato identities and conformal symmetry breaking operators ⋮ Deficient homomorphisms between generalized Verma modules ⋮ Residue families, singular Yamabe problems and extrinsic conformal Laplacians ⋮ PARABOLIC COMPACTIFICATION OF HOMOGENEOUS SPACES ⋮ Summation formulas for GJMS-operators and \(Q\)-curvatures on the Möbius sphere ⋮ Invariant differential operators on H-type groups and discrete components in restrictions of complementary series of rank one semisimple groups

Cites Work

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