Stability of Stationary Points and Cohomology of Groups

DOI10.2307/2043232zbMath0443.57026OpenAlexW4240038163MaRDI QIDQ3886530

Morris W. Hirsch

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2043232

zbMATH Keywords

linear actionslargest unipotent submodulestability of stationary points of group actions

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) Discontinuous groups of transformations (57S30) Connections of group theory with homological algebra and category theory (20J99) Stability theory for smooth dynamical systems (37C75) Noncompact Lie groups of transformations (57S20)

Related Items

The Stationary Set of a Group Action, Stable Orbits of Differentiable Group Actions, Low dimensional actions of semisimple groups, Smooth actions of Lie groups and Lie algebras on manifolds, Stability of symplectic leaves

Cites Work

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• Affine manifolds with nilpotent holonomy
• Stability of stationary points of group actions
• Stable Orbits of Differentiable Group Actions
• Vanishing Homology over Nilpotent Groups
• Differential Topology
• Continuous cohomology of groups and classifying spaces