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The BGG Complex on Projective Space

The BGG complex on projective space
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 23 Jun 2011Embargo end date: 01 Jan 2011Publisher:SIGMA (Symmetry, Integrability and Geometry: Methods and Application)Journal:Symmetry, Integrability and Geometry: Methods and Applications (eissn: 1815-0659, Copyright policy )
Authors: Eastwood, M.; Rod Gover, A.;

doi: 10.3842/sigma.2011.060 , 10.48550/arxiv.1106.4623

arXiv: 1106.4623

handle: 1885/70221 , 2440/108382

The BGG Complex on Projective Space

Abstract

We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.

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Keywords

Mathematics - Differential Geometry, Keywords: BGG complex, projective space, FOS: Physical sciences, Projective differential geometry, Mathematical Physics (math-ph), differential complex, Cohomology of Lie (super)algebras, Bernstein-Gelfand-Gelfand (BGG) complexes, Differential complex, Lie algebra cohomology, Invariance and symmetry properties for PDEs on manifolds, Differential Geometry (math.DG), QA1-939, Differential complexes, parabolic geometry, FOS: Mathematics, Parabolic geometry, BGG complex, Projective space, Mathematics, Mathematical Physics

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 2
    popularity
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    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold