The stabilizer of two-dimensional vector space of 27-dimensional module of type E6 over a field of characteristic two

DOI10.1142/S0219498821501516zbMath1477.17049MaRDI QIDQ5157757

Yousuf Alkhezi, Mashhour Al-Ali Bani-Ata

Publication date: 20 October 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Lie algebrageneralized quadranglecocliqueroot-groupsChevalley group \(E_6\)root-base

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Composition algebras (17A75) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Cites Work

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• The 27-dimensional module for \(E_ 6\). I
• Subgroups of the group \(E_6(q)\) which are generated by root subgroups
• On the construction of Lie-algebras of type \(E_6(K)\) for fields \(K\) of characteristic two
• The 27-Dimensional Module for E₆ , II
• On Lie algebras of typeF₄and Chevalley groupsF₄(K),E₆(K), and²E₆(K) for fieldsKof characteristic two
• A geometry of the generalized quadrangle (Ω,𝔏) of type O6−(2) and Lie algebras of type E6 with characteristic two
• On root-involutions and root-subgroups of E6(K) for fields K of characteristic two

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