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arXiv.org e-Print Archive
Preprint . 2022
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2022
License: CC BY
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Deformation of the Okubic Albert algebra and its relation to the Okubic affine and projective planes

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2022Embargo end date: 01 Jan 2022Publisher:arXiv
Authors: Corradetti, Daniele; Marrani, Alessio; Zucconi, Francesco;

doi: 10.48550/arxiv.2208.03967

arXiv: http://arxiv.org/abs/2208.03967

Deformation of the Okubic Albert algebra and its relation to the Okubic affine and projective planes

Abstract

We present a deformation of the Okubic Albert algebra introduced by Elduque whose rank-1 idempotent elements are in biunivocal correspondence with points of the Okubic projective plane, thus extending to Okubic algebras the correspondence found by Jordan, Von Neumann, Wigner between the octonionic projective plane and the rank-3 Exceptional Jordan Algebra.

Keywords

Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras

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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!
0
Average
Average
Average
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