The Highest Dimension of Commutative Subalgebras in Chevalley Algebras

DOI10.17516/1997-1397-2019-12-3-351-354OpenAlexW2949925282MaRDI QIDQ5853398

Galina S. Suleimanova

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu767

zbMATH Keywords

Chevalley algebracommutative subalgebra

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Commutative algebra (13-XX)

Cites Work

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• 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