Some more exceptional numerology.

DOI10.1007/s10958-010-0136-2zbMath1215.20043OpenAlexW2047404887MaRDI QIDQ547242

Nikolai A. Vavilov

Publication date: 30 June 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-0136-2

zbMATH Keywords

standard monomial theoryChevalley groupsminimal modulesspin representationsweight diagramsBorel-Freudenthal equationsCartan equationscrystal graphsdecompositions of unipotentshighest weight orbitprojective octave plane

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)

Related Items

Cubic forms on adjoint representations of exceptional groups ⋮ Enhanced Dynkin diagrams done right ⋮ Chevalley groups of type \(E_7\) in the 56-dimensional representation. ⋮ Calculations in exceptional groups, an update. ⋮ Normalizer of the Chevalley group of type ${\operatorname E}_7$

Cites Work

• A third look at weight diagrams
• Numerology of square equations
• Visual Basic Representations
• On the lattice of subgroups of chevalley groups containing a split maximal torus
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