Globality in semisimple Lie groups

DOI10.5802/aif.1222zbMath0703.17003OpenAlexW2329021575WikidataQ115159067 ScholiaQ115159067MaRDI QIDQ915841

Karl-Hermann Neeb

Publication date: 1990

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1990__40_3_493_0

zbMATH Keywords

controllabilitysemisimple Lie algebrasclosed convex conesinvariant coneswedgesLie semigroupssimply connected Lie grouproot decompositions

Mathematics Subject Classification ID

Controllability (93B05) Semisimple Lie groups and their representations (22E46) Structure of topological semigroups (22A15) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Objects dual to subsemigroups of groups, Square integrable highest weight representations, Controllability on real reductive Lie groups, Monotone functions on symmetric spaces

Cites Work

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• Determination of invariant convex cones in simple Lie algebras
• Invariant orderings in simple Lie groups: Solution of a problem of Eh. B. Vinberg
• Invariant convex cones and orderings in Lie groups
• Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
• Semigroups in the universal covering group of \(SL(2)\)
• Lie algebras with subalgebras of co-dimension one
• Representations of Semisimple Lie Groups IV
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• Maximal subsemigroups of Lie groups that are total
• The Duality Between Subsemigroups of Lie Groups and Monotone Functions
• Harmonic Analysis in Phase Space. (AM-122)
• Compactifications of Symmetric Spaces
• Introduction to Lie Algebras and Representation Theory
• The Large Scale Structure of Space-Time