Construction de certaines sous-algèbres remarquables dans les algèbres de Lie semi-simples

DOI10.1016/0021-8693(83)90221-1zbMath0527.17003OpenAlexW1992488531WikidataQ115367125 ScholiaQ115367125MaRDI QIDQ595758

Hubert Rubenthaler

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90221-1

zbMATH Keywords

root systemsemi-simple Lie algebraadmissible subsetsfundamental system of rootssubalgebra construction

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Simple, semisimple, reductive (super)algebras (17B20) Lie algebras of linear algebraic groups (17B45)

Related Items (8)

Simple Lie algebras graded by a root system and \(C\)-admissible subalgebras ⋮ Systèmes de racines infinis ⋮ Unnamed Item ⋮ The $({\bf A_2,G_2})$ duality in ${\bf E_6}$, octonions and the triality principle ⋮ Non-parabolic prehomogeneous vector spaces and exceptional Lie algebras ⋮ A classification of a certain class of reductive prehomogeneous vector spaces. II ⋮ Affine Kac-Moody algebras graded by affine root systems ⋮ Paramétrisation d'orbites dans les nappes de Dixmier admissibles

Cites Work

• Some remarks on nilpotent orbits
• Groupes reductifs
• On restricted roots of semi-simple algebraic groups
• Semisimple subalgebras of semisimple Lie algebras
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups
• Introduction to Lie Algebras and Representation Theory
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