Weight elements of Chevalley groups

DOI10.1090/S1061-0022-08-01036-4zbMath1206.20051OpenAlexW2034453435MaRDI QIDQ3079238

Nikolai A. Vavilov

Publication date: 2 March 2011

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

Full work available at URL: https://doi.org/10.1090/s1061-0022-08-01036-4

zbMATH Keywords

Chevalley groupsBruhat decompositionssemisimple elementsBorel orbitsmicroweightsparabolic subgroups with Abelian unipotent radicalweight element

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Linear algebraic groups over arbitrary fields (20G15)

Related Items (11)

Bak's work on theK-theory of rings ⋮ Reduction theorems for triples of short root subgroups in Chevalley groups ⋮ Subgroups, of Chevalley groups over a locally finite field, defined by a family of additive subgroups ⋮ Relative commutator calculus in Chevalley groups. ⋮ Calculations in exceptional groups over rings. ⋮ Commutator width of Chevalley groups over rings of stable rank 1 ⋮ Relative subgroups in Chevalley groups ⋮ Normalizer of the Chevalley group of type ${\mathrm E}_6$ ⋮ Calculations in exceptional groups, an update. ⋮ Chevalley groups over commutative rings. I: Elementary calculations ⋮ Normalizer of the Chevalley group of type ${\operatorname E}_7$

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