Symmetries of the octonionic root system of E8

DOI10.1063/1.529784zbMath0752.22005OpenAlexW1964820766MaRDI QIDQ3991991

Mehmet Koca

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529784

zbMATH Keywords

binary tetrahedral groupHurwitz integersOctonionic root system of \(E_ 8\)quaternionic units

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Simple, semisimple, reductive (super)algebras (17B20) General properties and structure of other Lie groups (22E20)

Related Items (2)

Quaternionic root systems and subgroups of the Aut(F4) ⋮ The Chevalley group \(G_2(2)\) of order 12096 and the octonionic root system of \(E_7\).

Cites Work

• E₈lattice with icosians and Z₅symmetry
• Quark structure and octonions

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