Skip to main content

Squaring operations in mod 2 cohomology of quotients of compact lie groups by maximal tori

Part of the Lecture Notes in Mathematics book series (LNM,volume 1298)

Keywords

  • Weyl Group
  • Chern Class
  • Maximal Torus
  • Dynkin Diagram
  • Cohomology Ring

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Borel and J. de Siebenthal: Les sous-groupes fermés de rang maximum des groupes de Lie clos, Comment. Math. Helv., 23 (1949), 200–221.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. R. Bott and H. Samelson: Applications of the theory of Morse to symmetric spaces, Amer. J. Math., 80 (1958), 964–1029.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. N. Bourbaki: Groupes et algèbres de Lie IV-VI, Hermann, 1968.

    Google Scholar 

  4. A. Kono and K. Ishitoya: Squaring operations in the 4-connective fibre spaces over the classifying spaces of the exceptional Lie groups, Publ. RIMS Kyoto Univ., 21 (1985),1299–1310.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. J. de Siebenthal: Sur les sous-groupes fermés connexes d'un groupe de Lie clos, Comment. Math. Helv., 25 (1951), 210–256.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. H. Toda: On the cohomology ring of some homogeneous spaces, J. Math. Kyoto Univ., 15 (1975), 185–199.

    MathSciNet  MATH  Google Scholar 

  7. H. Toda and M. Mimura: Topology of Lie groups, Kinokuniya, 1978 (in Japanese).

    Google Scholar 

  8. H. Toda and T. Watanabe: The integral cohomology ring of F4/T and E6/T, J. Math. Kyoto Univ., 14 (1974), 257–286.

    MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Kono, A., Ishitoya, K. (1987). Squaring operations in mod 2 cohomology of quotients of compact lie groups by maximal tori. In: Aguadé, J., Kane, R. (eds) Algebraic Topology Barcelona 1986. Lecture Notes in Mathematics, vol 1298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083010

Download citation

  • DOI: https://doi.org/10.1007/BFb0083010

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18729-5

  • Online ISBN: 978-3-540-48122-5

  • eBook Packages: Springer Book Archive