Curved Casimir operators and the BGG machinery

DOI10.3842/SIGMA.2007.111zbMath1142.22008arXiv0708.3180OpenAlexW2086952227WikidataQ57408589 ScholiaQ57408589MaRDI QIDQ2473518

Vladimír Souček, Andreas Čap

Publication date: 27 February 2008

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

Full work available at URL: https://arxiv.org/abs/0708.3180

zbMATH Keywords

Casimir operatorparabolic geometryinduced representationinvariant differential operatortractor bundleBGG sequence

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Invariance and symmetry properties for PDEs on manifolds (58J70) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other special differential geometries (53A40)

Related Items (11)

First BGG operators on homogeneous conformal geometries ⋮ A Poisson transform adapted to the Rumin complex ⋮ Conformally invariant quantization -- towards the complete classification ⋮ Relative BGG sequences. II: BGG machinery and invariant operators ⋮ How to prove the Baum-Connes conjecture for the groups \(S p(n, 1)\)? ⋮ Poisson transforms adapted to BGG-complexes ⋮ First BGG operators via homogeneous examples ⋮ Geometry of solutions to the c-projective metrizability equation ⋮ The Baum–Connes conjecture: an extended survey ⋮ Equivariant quantizations for AHS-structures ⋮ Metrics in projective differential geometry: the geometry of solutions to the metrizability equation

This page was built for publication: Curved Casimir operators and the BGG machinery