Invariant cones in Lie algebras

DOI10.1007/BF02573137zbMath0648.22005MaRDI QIDQ1105054

Karl Heinrich Hofmann, Joachim Hilgert

Publication date: 1988

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134928

zbMATH Keywords

finite dimensional real Lie algebrainvariant cones in Lie algebrasLie theory of semigroups

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Structure of topological semigroups (22A15) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

On an application of the work of D. E. Knuth to semigroups ⋮ On irreducible sl(2,\({\mathbb{R}})\)-modules and \(sl_ 2\)-triples ⋮ Lie semialgebras in reductive Lie algebras

Cites Work

• Determination of invariant convex cones in simple Lie algebras
• On invariant convex cones in simple Lie algebras
• The local theory of semigroups in nilpotent Lie groups
• Lie semialgebras are real phenomena
• Lorentzian cones in real Lie algebras
• Invariant orderings in simple Lie groups: Solution of a problem of Eh. B. Vinberg
• Old and new on Sl(2)
• Lie algebras admitting elliptic semialgebras
• Invariant convex cones and orderings in Lie groups
• Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
• Compactly embedded Cartan algebras and invariant cones in Lie algebras
• Semigroups in Lie Groups, Semialgebras in Lie Algebras
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