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Communications in Mathematical Physics
Article
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arXiv.org e-Print Archive
Preprint . 1999
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Communications in Mathematical Physics
Article . 2001 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 1999
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https://dx.doi.org/10.1007/s00...
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Gravity on Finite Groups

Gravity on finite groups
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 May 2001Embargo end date: 01 Jan 1999Publisher:Springer Science and Business Media LLCJournal:Communications in Mathematical Physics, volume 218, pages 609-632 (issn: 0010-3616, eissn: 1432-0916, Copyright policy )
Authors: CASTELLANI, Leonardo;

doi: 10.1007/s002200100409 , 10.48550/arxiv.gr-qc/9909028

arXiv: gr-qc/9909028

handle: 11579/7322

Gravity on Finite Groups

Abstract

Gravity theories are constructed on finite groups G. A self-consistent review of the differential calculi on finite G is given, with some new developments. The example of a bicovariant differential calculus on the nonabelian finite group S_3 is treated in detail, and used to build a gravity-like field theory on S_3.

LaTeX, 26 pages, 1 figure. Corrected misprints and formula giving exterior product of n 1-forms. Added note on topological action

Related Organizations
Keywords

High Energy Physics - Theory, permutation group, diffeomorphism, FOS: Physical sciences, Lie derivative, integration, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology, gravity theory, invariant integral action, High Energy Physics - Theory (hep-th), bicovariant calculus, finite group, Methods of noncommutative geometry in general relativity, General theory for finite permutation groups

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    popularity
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    influence
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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!
8
Average
Top 10%
Top 10%
Green
bronze