On Sophus Lie's fundamental theorem

DOI10.1016/0022-1236(86)90028-5zbMath0597.22005OpenAlexW2018968538MaRDI QIDQ1078681

Karl Heinrich Hofmann, Joachim Hilgert

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90028-5

zbMATH Keywords

Lie algebraslocal semigrouplocal Lie groups

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Structure of topological semigroups (22A15) Local Lie groups (22E05)

Related Items

Local semigroups in Lie groups and locally reachable sets ⋮ Maximal semigroups and controllability in products of Lie groups ⋮ Free local semigroup constructions ⋮ The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin ⋮ Lie semialgebras are real phenomena ⋮ Lorentzian cones in real Lie algebras ⋮ Local Lie semigroups and open embeddings into global topological semigroups

Cites Work

• Determination of invariant convex cones in simple Lie algebras
• The local theory of semigroups in nilpotent Lie groups
• Lie semialgebras are real phenomena
• Old and new on Sl(2)
• Invariant convex cones and orderings in Lie groups
• Invariant convex cones and causality in semisimple Lie algebras and groups
• Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
• Topological semigroups, sets of generators, and controllability
• Control systems on Lie groups
• On Lie Semi-Groups
• Semigroups in Lie Groups, Semialgebras in Lie Algebras
• Divisible Subsemigroups of Lie Groups
• On semigroups in analysis and geometry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item