Normalizer of the Chevalley group of type ${\operatorname E}_7$

DOI10.1090/spmj/1426zbMath1361.20034OpenAlexW2526880511MaRDI QIDQ2822782

A. Yu. Luzgarev, Nikolai A. Vavilov

Publication date: 5 October 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1426

zbMATH Keywords

elementary subgroupsChevalley groupsminimal modulesdecomposition of unipotentshighest weight orbitinvariant formsroot elements

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Representation theory for linear algebraic groups (20G05) Group schemes (14L15) Linear algebraic groups over adèles and other rings and schemes (20G35) Exceptional groups (20G41) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (6)

Freudenthal triple systems in arbitrary characteristic ⋮ Relative centralizers of relative subgroups ⋮ Construction and characterisation of the varieties of the third row of the Freudenthal-Tits magic square ⋮ Overgroups of exterior powers of an elementary group. levels ⋮ Orbits of vectors in some representations. I ⋮ Towards the reverse decomposition of unipotents

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