On reachable elements and the boundary of nilpotent orbits in simple Lie algebras

DOI10.1016/j.bulsci.2004.08.001zbMath1072.14068OpenAlexW2062880048MaRDI QIDQ2387398

Dmitri I. Panyushev

Publication date: 2 September 2005

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2004.08.001

zbMATH Keywords

centralizerssemisimple Lie algebrasnilpotent orbits\(\mathfrak{sl}_2\)-triples

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Simple, semisimple, reductive (super)algebras (17B20) Group actions on affine varieties (14R20)

Related Items

Exploring Lie theory with GAP ⋮ Reachable elements in basic classical Lie superalgebras ⋮ On divisible weighted Dynkin diagrams and reachable elements ⋮ On the derived algebra of a centraliser ⋮ Two results on centralisers of nilpotent elements

Cites Work

• Minimal singularities in \(GL_ n\).
• Classes unipotentes et sous-groupes de Borel
• On the geometry of conjugacy classes in classical groups
• THE WEYL GROUP OF A GRADED LIE ALGEBRA
• Orbits and Representations Associated with Symmetric Spaces
• Lusztig's canonical quotient and generalized duality
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