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Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces

About this Title

Linus Kramer

Publication: Memoirs of the American Mathematical Society
Publication Year: 2002; Volume 158, Number 752
ISBNs: 978-0-8218-2906-6 (print); 978-1-4704-0345-4 (online)
MathSciNet review: 1904708
MSC: Primary 53C30; Secondary 51E24, 53C35, 53C40, 55Q40, 55T10, 57T15

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Table of Contents


  • 1. The Leray-Serre spectral sequence
  • 2. Ranks of homotopy groups
  • 3. Some homogeneous spaces
  • 4. Representations of compact Lie groups
  • 5. The case when $G$ is simple
  • 6. The case when $G$ is semisimple
  • 7. Homogeneous compact quadrangles
  • 8. Homogeneous focal manifolds