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Transformation Groups

, Volume 19, Issue 3, pp 793–852 | Cite as

HOMOGENEOUS COMPACT GEOMETRIES

  • L. KRAMEREmail author
  • A. LYTCHAK
Article

Abstract

We classify compact homogeneous geometries of irreducible spherical type and rank at least 2 which admit a transitive action of a compact connected group, up to equivariant 2-coverings. We apply our classification to polar actions on compact symmetric spaces.

Keywords

Simple Complex Polar Space Coxeter Group Maximal Compact Subgroup Generalize Quadrangle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Mathematisches InstitutUniversität MünsterMünsterGermany
  2. 2.Mathematisches InstitutUniversität KölnKölnGermany

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