Titel
Graded hypoellipticity of BGG sequences
Abstract
This article studies hypoellipticity on general filtered manifolds. We extend the Rockland criterion to a pseudodifferential calculus on filtered manifolds, construct a parametrix and describe its precise analytic structure. We use this result to study Rockland sequences, a notion generalizing elliptic sequences to filtered manifolds. The main application that we present is to the analysis of the Bernstein–Gelfand–Gelfand (BGG) sequences over regular parabolic geometries. We do this by generalizing the BGG machinery to more general filtered manifolds (in a non-canonical way) and show that the generalized BGG sequences are Rockland in a graded sense.
Stichwort
Filtered manifoldPseudodifferential operatorHypoelliptic operatorRockland operatorHypoelliptic sequenceRockland sequenceBGG sequenceRumin–Seshadri operatorEngel structureGeneric rank two distribution in dimension five
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:1649452
Erschienen in
Titel
Annals of Global Analysis and Geometry
Band
62
Ausgabe
4
ISSN
0232-704X
Erscheinungsdatum
2022
Seitenanfang
721
Seitenende
789
Verlag
Springer Science and Business Media LLC
Erscheinungsdatum
2022
Zugänglichkeit
Rechteangabe
© The Author(s) 2022

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