Über den Symmetriegrad der rational azyklischen kompakten homogenen Räume

DOI10.1007/BF01299610zbMath0459.57021OpenAlexW2048971374MaRDI QIDQ1152151

Volker Hauschild

Publication date: 1980

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154733

zbMATH Keywords

equivariant cohomologycompact connected semisimple Lie groupactions of compact Lie groups on homogeneous spacesnonexistence of fixed points of semisimple compact Lie group actionssymmetry degree of homogeneous spaces

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (2)

Lie groups ⋮ Actions of compact Lie groups on homogeneous spaces

Cites Work

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• On the number of relations in the cohomology of a fixed point set
• Cohomology of fixed point sets and deformation of algebras
• The cohomology ring structure of a fixed point set
• The degree of symmetry of homotopy spheres
• Seminar on Transformation Groups. (AM-46)

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