Skip to main content

Quelques Resultats En K-Theorie Reelle

  • Chapter
Algebra and Operator Theory
  • 443 Accesses

Résumé

On étudie la suite spectrale d’Atiyah-Hirzebruch associée à KO* (HS(n,k)), où HS(n,k) désigne la variété quaternionique de Stiefel. Les isomorphismes de groupes abéliens: KO*(HS(n,k)) ≅E *2 (HS(n,k))≅ E * ,(H S(n, k)) qui ont été établis,donnent la structure Z 8- graduée de la K- théorie réelle.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Atiyah M. F. K- theory and Reality, Quart. J. Math. Oxford (2), 17, (1966), 367–386.

    Article  MathSciNet  MATH  Google Scholar 

  2. Atiyah M. F., Hirzebruch F. Vector bundles and homogeneous spaces, Proc. Symp. Pure Math. 3, A M S Proc., (1961), 197–221.

    Google Scholar 

  3. Bott R. Lectures on K (X) Benjamin, New-York, 1969.

    Google Scholar 

  4. Costinescu C.N. Aplicatii in KO -teorie, St. Cerc. Mat., 39, 3, (1987), 234–239.

    MathSciNet  MATH  Google Scholar 

  5. Freitas R. K théorie réelle des variétés de Stiefel sans torsion; Thèse, U.S.T. de Lille 1, 1985.

    Google Scholar 

  6. Hilton P. General cohomology theory and K -theory, London Math. Soc., Lecture Notes 1, Cambridge (1971).

    Google Scholar 

  7. Hodgkin L. K -theory of Lie groups, Topology 6 (1967), 1–36.

    Article  MathSciNet  MATH  Google Scholar 

  8. Husmoller L. Fibre bundles, Mc Graw-Hill, New - York, 1966.

    Google Scholar 

  9. Lazarov C. Secondary characteristic classes in K -theory, Trans. Amer. Math. Soc., 136 (1968), 36–59.

    MathSciNet  Google Scholar 

  10. Mahammed N., Piccinini R., Suter U. Some applications of topological K -theory, North H olland Math. Studies 45, 1980.

    Google Scholar 

  11. Roux A. Application de la suite spectrale de Hodgkin au calcul de la K -théorie des variétés de Stiefel, Bull. Soc. Math. France 99 (1971), 345–368.

    MathSciNet  MATH  Google Scholar 

  12. Seymour R.M. Real K -theory of Lie groups and homogeneous spaces Quart. J. Math. Oxford (2), 24 (1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Costinescu, C.N. (1998). Quelques Resultats En K-Theorie Reelle. In: Khakimdjanov, Y., Goze, M., Ayupov, S.A. (eds) Algebra and Operator Theory. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5072-9_4

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5072-9_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6130-8

  • Online ISBN: 978-94-011-5072-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics