Relative BGG sequences. II: BGG machinery and invariant operators

DOI10.1016/j.aim.2017.09.016zbMath1418.17022arXiv1510.03986OpenAlexW2290978194WikidataQ57408532 ScholiaQ57408532MaRDI QIDQ2411350

Andreas Čap, Vladimír Souček

Publication date: 20 October 2017

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

Full work available at URL: https://arxiv.org/abs/1510.03986

zbMATH Keywords

invariant differential operatorBGG sequenceBernstein-Gelfand-Gelfand sequencegeneralized path geometriesrelative BGG resolution

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

First BGG operators on homogeneous conformal geometries ⋮ A Poisson transform adapted to the Rumin complex ⋮ Relative BGG sequence. I: Algebra ⋮ Conformally Fedosov manifolds ⋮ Poisson transforms adapted to BGG-complexes ⋮ BGG complexes in singular infinitesimal character for type A ⋮ First BGG operators via homogeneous examples ⋮ \(k\)-Dirac complexes ⋮ Graded hypoellipticity of BGG sequences ⋮ Parabolic conformally symplectic structures. III: Invariant differential operators and complexes ⋮ Elementary relative tractor calculus for Legendrean contact structures

Cites Work

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• Subcomplexes in curved BGG-sequences
• Conformally invariant operators via curved Casimirs: examples
• On a new normalization for tractor covariant derivatives
• Conformally invariant differential operators on Minkowski space and their curved analogues
• A generalization of the Bernstein-Gelfand-Gelfand resolution
• Thomas's structure bundle for conformal, projective and related structures
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Infinitesimal automorphisms and deformations of parabolic geometries
• Curved Casimir operators and the BGG machinery
• Relative BGG sequence. I: Algebra
• Differential invariants and curved Bernstein-Gelfand-Gelfand sequences
• Tractor calculi for parabolic geometries
• Weyl structures for parabolic geometries
• Correspondence spaces and twistor spaces for parabolic geometries
• The Equivalence Problem for Systems of Second-Order Ordinary Differential Equations
• NORMAL BGG SOLUTIONS AND POLYNOMIALS
• Bernstein-Gelfand-Gelfand sequences