Self-Maps of Flag Manifolds
From MaRDI portal
Publication:3938228
DOI10.2307/1998662zbMath0479.55014OpenAlexW4254875338MaRDI QIDQ3938228
William D. Homer, Henry H. Glover
Publication date: 1981
Full work available at URL: https://doi.org/10.2307/1998662
cyclotomic polynomialsinduced maps in rational cohomologyprojective endomorphisms in cohomologyrational homotopy classes of maps between flag spacesrationalizations of flag manifolds
Rational homotopy theory (55P62) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Classification of mappings in algebraic topology (55S37)
Related Items
Endomorphisms of real Grassmannians that commute with Steenrod squares ⋮ Rational universal fibrations and flag manifolds ⋮ Rational Automorphisms of Grassmann Manifolds ⋮ Endomorphisms of the Cohomology of Complex Grassmannians ⋮ Rational homotopy equivalences of Lie type ⋮ Maps between certain complex Grassmann manifolds ⋮ Splitting Universal Bundles over Flag Manifolds ⋮ Suspension splittings and self-maps of flag manifolds ⋮ On Cohomology Automorphisms of Complex Flag Manifolds ⋮ Some topological properties of Kaehler manifolds and homogeneous spaces ⋮ Maps from a simply connected space to flag manifold \(G/T\) ⋮ Algèbre de Lie de dérivations de certaines algèbres pures ⋮ On self-maps of complex flag manifolds ⋮ Rigidity properties of compact Lie groups modulo maximal tori
Cites Work
- Fixed points on flag manifolds
- Homotopy rigidity of linear actions on homogeneous spaces
- Maps between localized homogeneous spaces
- Infinitesimal computations in topology
- Topics in the homology theory of fibre bundles. Lectures given at the University of Chicago, 1954. Notes by E. Halpern
- On the cohomology of homogeneous spaces
- Les sous-groupes fermes de rang maximum des groupes de Lie clos
- On 𝑃𝐿 de Rham theory and rational homotopy type
- Homotopy rigidity of linear actions: characters tell all
- Maps between classifying spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
