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Journal of Mathematical Physics
Article
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arXiv.org e-Print Archive
Preprint . 1996
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Journal of Mathematical Physics
Article . 1998 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 1996
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Journal of Mathematical Physics
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Discrete spectral triples and their symmetries

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Nov 1998Embargo end date: 01 Jan 1996 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 39, pages 6,191-6,205 (issn: 0022-2488, eissn: 1089-7658, Copyright policy )
Authors: Andrzej Sitarz; Mario Paschke;

doi: 10.1063/1.532623 , 10.48550/arxiv.q-alg/9612029

arXiv: http://arxiv.org/abs/q-alg/9612029

Discrete spectral triples and their symmetries

Abstract

We classify zero-dimensional spectral triples over complex and real algebras and provide some general statements about their differential structure. We investigate also whether such spectral triples admit a symmetry arising from the Hopf algebra structure of the finite algebra. We discuss examples of commutative algebras and group algebras.

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Keywords

Noncommutative geometry (à la Connes), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Noncommutative differential geometry, spectral triples, symmetry

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citations
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!
67
Top 10%
Top 10%
Top 10%
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