Complexification of the exceptional Jordan algebra and its application to particle physics

DOI10.7546/jgsp-61-2021-1-16OpenAlexW4200463169MaRDI QIDQ2110905

Daniele Corradetti

Publication date: 23 December 2022

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7546/jgsp-61-2021-1-16

zbMATH Keywords

exceptional Jordan algebrastandard modelgauge theoriesgrand unified theories

Mathematics Subject Classification ID

Exceptional Jordan structures (17C40) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of Jordan algebras to physics, etc. (17C90) Nonassociative division algebras (17A35)

Related Items (2)

Octonionic planes and real forms of \(G_2\), \(F_4\) and \(E_6\) ⋮ Accelerated discovery of machine-learned symmetries: deriving the exceptional Lie groups \(G_2\), \(F_4\) and \(E_6\)

Cites Work

• Unnamed Item
• Regular functions on the space of Cayley numbers
• Moufang plane and octonionic quantum mechanics
• Relations among low-dimensional simple Lie groups
• Division Algebras and Supersymmetry I
• The Geometry of the Octonions
• Quark structure and octonions
• The octonions
• Deducing the symmetry of the standard model from the automorphism and structure groups of the exceptional Jordan algebra
• SO(9) characterization of the standard model gauge group

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