Homotopy rigidity of linear actions: characters tell all

DOI10.1090/S0002-9904-1978-14457-7zbMath0386.57017MaRDI QIDQ4167314

Arunas Liulevicius

Publication date: 1978

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Homotopy equivalences in algebraic topology (55P10) Compact groups (22C05) Compact groups of homeomorphisms (57S10) Homology and homotopy of topological groups and related structures (57T99)

Related Items (4)

Cohomology automorphisms of some homogeneous spaces ⋮ Homotopy Rigidity for Grassmannians ⋮ Self-Maps of Flag Manifolds ⋮ Homotopy rigidity of linear actions on homogeneous spaces

Cites Work

• A setting for smooth \(S^1\) actions with applications to real algebraic actions on \(P(\mathbb{C}^{4n})\)
• Quasi equivalence of G modules
• Group representations, \(\lambda\)-rings and the \(J\)-homomorphism
• Equivariant K-theory
• Equivariant \(K\)-theory and completion
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• On the groups 𝐽𝑂(𝐺)
• Topology of Lie groups
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