An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$

DOI10.1090/S1061-0022-05-00871-XzbMath1105.20039OpenAlexW1491123567MaRDI QIDQ5313280

Michael Gavrilovich, Nikolai A. Vavilov

Publication date: 26 August 2005

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

Full work available at URL: https://doi.org/10.1090/s1061-0022-05-00871-x

zbMATH Keywords

parabolic subgroupselementary subgroupsnormal subgroupsChevalley groupsminimal modulesdecompositions of unipotentsstandard descriptionsroot elementsorbits of highest weight vectorsproofs from the Book

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Representation theory for linear algebraic groups (20G05) Chains and lattices of subgroups, subnormal subgroups (20E15) Linear algebraic groups over adèles and other rings and schemes (20G35)

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