Simple Lie algebras graded by a root system and \(C\)-admissible subalgebras

DOI10.1006/JABR.1999.8061zbMath0981.17023OpenAlexW2083185991WikidataQ115395790 ScholiaQ115395790MaRDI QIDQ1969129

Josiane Nervi

Publication date: 28 August 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8061

zbMATH Keywords

graded Lie algebrasimple Lie algebra\(C\)-admissible subalgebragradation by finite root systems

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (6)

Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey ⋮ Unnamed Item ⋮ Non-parabolic prehomogeneous vector spaces and exceptional Lie algebras ⋮ Tits-Kantor-Koecher Superalgebras of Jordan Superpairs Covered by Grids ⋮ Dynkin diagrams and short Peirce gradings of Kantor pairs ⋮ Affine Kac-Moody algebras graded by affine root systems

Cites Work

• Construction de certaines sous-algèbres remarquables dans les algèbres de Lie semi-simples
• Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy
• Lie algebras graded by finite root systems and intersection matrix algebras
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Lie Algebras Graded by 3-Graded Root Systems and Jordan Pairs Covered by Grids
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