Rigidity properties of compact Lie groups modulo maximal tori

DOI10.1007/BF01459142zbMath0585.57023OpenAlexW2041224033WikidataQ115393437 ScholiaQ115393437MaRDI QIDQ1070595

Stefan Papadima

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164175

zbMATH Keywords

Weyl groupflag manifoldhomotopy typeisometryautomorphismsrational cohomologyautomorphism group of the root systemcompact Lie groups modulo maximal torifixed point-free self-mapsinvariant geodesic

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Localization and completion in homotopy theory (55P60) Geodesics in global differential geometry (53C22) Fixed points and coincidences in algebraic topology (55M20) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (6)

Rational homotopy equivalences of Lie type ⋮ Suspension splittings and self-maps of flag manifolds ⋮ Maps between classifying spaces and applications ⋮ Group actions on Poincaré duality algebras and Lefschetz properties ⋮ Discrete Symmetry, Toral Symmetry and the Euler Characteristic of Manifolds ⋮ Deformations of the Lie–Poisson sphere of a compact semisimple Lie algebra

Cites Work

• Noncoincidence index of manifolds
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• On the genus of generalized flag manifolds
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• Isometry-invariant geodesics
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• An application of the Morse theory to the topology of Lie-groups
• Endomorphisms of the Cohomology of Complex Grassmannians
• On Cohomology Automorphisms of Complex Flag Manifolds
• Self-Maps of Flag Manifolds
• LIE GROUP ACTIONS ON SPACES OF FINITE RANK
• Introduction to Lie Algebras and Representation Theory
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