On Cohomology Automorphisms of Complex Flag Manifolds

DOI10.2307/2044817zbMath0604.57029OpenAlexW4249877602MaRDI QIDQ3740664

William D. Homer, Michael E. Hoffman

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2044817

zbMATH Keywords

automorphisms of the rational cohomology ring of U(n)/Hclosed connected subgroup of maximal rank in U(n)

Mathematics Subject Classification ID

Homology and cohomology of homogeneous spaces of Lie groups (57T15) Classification of mappings in algebraic topology (55S37)

Related Items (4)

Cohomology automorphisms of some homogeneous spaces ⋮ Rational homotopy equivalences of Lie type ⋮ Maps between certain complex Grassmann manifolds ⋮ Rigidity properties of compact Lie groups modulo maximal tori

Cites Work

• On the genus of generalized flag manifolds
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Rational Automorphisms of Grassmann Manifolds
• Endomorphisms of the Cohomology of Complex Grassmannians
• Self-Maps of Flag Manifolds
• The Height of Two-Dimensional Cohomology Classes of Complex Flag Manifolds

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