Generalized reduced Mal'tsev problem on commutative subalgebras of \(E_6\) type Chevalley algebras over a field

DOI10.26516/1997-7670.2019.29.31zbMath1457.17012OpenAlexW2974227168MaRDI QIDQ2280343

Evgeniya Alekseevna Kirillova

Publication date: 18 December 2019

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1307

zbMATH Keywords

Chevalley algebralargest dimension commutative subalgebraniltriangular subalgebra

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Solvable, nilpotent (super)algebras (17B30) Lie algebras of linear algebraic groups (17B45)

Cites Work

• The generalized Mal'cev problem on abelian subalgebras of the Chevalley algebras
• Extremal and maximal normal Abelian subgroups of a maximal unipotent subgroup in groups of Lie type.
• Subgroups of finite Chevalley groups
• Maximal orders of Abelian subgroups in finite Chevalley groups
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