The homotopy type of Lie semigroups in semi-simple Lie groups

DOI10.1007/S006050200040zbMath1012.22029OpenAlexW1974659985WikidataQ115385564 ScholiaQ115385564MaRDI QIDQ1614969

Alexandre J. Santana, Luiz A. B. San Martin

Publication date: 10 September 2002

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006050200040

zbMATH Keywords

semisimple Lie groupflag manifoldshomotopy groupsinvariant control setsmaximal compact subgroups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Semisimple Lie groups and their representations (22E46) Homology and homotopy of topological groups and related structures (57T99)

Related Items (11)

Semigroups in symmetric Lie groups ⋮ 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 ⋮ POISSON SPACES FOR PROPER SEMIGROUPS OF SEMI-SIMPLE 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 ⋮ Fundamental semigroups for local control sets ⋮ Covering space for monotonic homotopy of trajectories of control systems ⋮ On a subsemigroup of the universal covering of Lie semigroups ⋮ Chain transitive sets for flows on flag bundles

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