Connected components of open semigroups in semi-simple Lie groups

DOI10.1007/S00233-004-0105-5zbMath1054.22020OpenAlexW2076563469WikidataQ115388260 ScholiaQ115388260MaRDI QIDQ1882664

Osvaldo Germano do Rocio, Luiz A. B. San Martin

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1007/s00233-004-0105-5

zbMATH Keywords

semigroupssemisimple Lie groupsflag manifoldsmid-reversibilityrecurrent componentsemigroup component

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Homogeneous spaces (22F30) Transformation groups and semigroups (topological aspects) (54H15) Semisimple Lie groups and their representations (22E46) General properties and structure of real Lie groups (22E15) Structure of topological semigroups (22A15)

Related Items (8)

Mid-reversibility properties of semigroup actions on homogeneous spaces ⋮ Invariant cones and convex sets for bilinear control systems and parabolic type of semigroups ⋮ Controllability of control systems on complex simple Lie groups and the topology of flag manifolds ⋮ Invariant cones for semigroups in transitive Lie groups ⋮ A method to find generators of a semi-simple Lie group via the topology of its flag manifolds ⋮ Reversibility properties of semigroup actions on homogeneous spaces ⋮ Characteristic functions of semigroups in semi-simple Lie groups ⋮ Covering space for monotonic homotopy of trajectories of control systems

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