Can one see the signs of structure constants?

DOI10.1090/S1061-0022-08-01008-XzbMath1203.20041OpenAlexW1988978138MaRDI QIDQ3060207

Nikolai A. Vavilov

Publication date: 1 December 2010

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

Full work available at URL: https://doi.org/10.1090/s1061-0022-08-01008-x

zbMATH Keywords

fundamental representationsChevalley groupsadjoint representationsminimal modulesstructure constantsmicroweight representationsweight diagramshighest weight vectorsFreudenthal transvections

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over adèles and other rings and schemes (20G35)

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Cubic forms on adjoint representations of exceptional groups ⋮ On centrality of \(\operatorname{K}_2\) for Chevalley groups of type \(\mathsf{E}_\ell\) ⋮ Saint Petersburg school of the theory of linear groups. I: Prehistory ⋮ Improved K₁-stability for the embedding D₅ into E₆ ⋮ Computing with real Lie algebras: real forms, Cartan decompositions, and Cartan subalgebras ⋮ Minuscule weights and Chevalley groups ⋮ Overgroups of Levi subgroups I. The case of abelian unipotent radical ⋮ Decomposition of unipotents for \(\mathrm{E}_6\) and \(\mathrm{E}_7\): 25 years after ⋮ Calculations in exceptional groups, an update. ⋮ Normalizer of the Chevalley group of type ${\operatorname E}_7$ ⋮ Growth of structure constants of free Lie algebras relative to Hall bases ⋮ A third look at weight diagrams

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