Skip to main content
SpringerLink
Log in
Book cover

Algebraic Topology Waterloo 1978 pp 557–587Cite as

The mod 3 cohomology of the exceptional lie group E8

  • D. Loop and H. Spaces
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 741))

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (USA)
  • 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. Adams, J.F., Lectures on Generalized Cohomology, Lecture Notes in Mathematics, 99, Springer-Verlag (1969).

    Google Scholar 

  2. Adams, J.F., Stable Homotopy and Generalized Homology, University of Chicago Press (1974).

    Google Scholar 

  3. Browder, W., Torsion in H-Spaces, Annals of Math. 74(1961), 24–51.

    Article  MathSciNet  MATH  Google Scholar 

  4. Hazewinkel, M., A Universal Formal Group and Complex Cobordism, Bull. Amer. Math. Soc. 81(1975), 930–933.

    Article  MathSciNet  MATH  Google Scholar 

  5. Kane, R., The Module of Indecomposables for Finite H-Spaces, Trans. Amer. Math. Soc. 222(1976), 303–318.

    MathSciNet  MATH  Google Scholar 

  6. Kane, R., Torsion in Homotopy Associative H-Spaces, Illinois J. Math. 20(1976), 476–485.

    MathSciNet  MATH  Google Scholar 

  7. Kane, R., The BP Homology of H-Spaces, Trans. Amer. Math. Soc. 241(1978), 99–120.

    MathSciNet  MATH  Google Scholar 

  8. Kane, R., Rational BP Operations and the Chern Character. Math. Proc. Camb. Phil. Soc. 84(1978), 65–72.

    Article  MathSciNet  MATH  Google Scholar 

  9. Kane, R., The Module of Indecomposables for Mod 2 Finite H-Spaces, Trans. Amer. Math. Soc. (to appear).

    Google Scholar 

  10. Kane, R., BP Operations and Steenrod Modules, Quart. J. Math Oxford (to appear).

    Google Scholar 

  11. Kane, R., BP Torsion in Finite H-Spaces (to appear).

    Google Scholar 

  12. Kono, A., and Mimura, M., Cohomology Operations and the Hopf Algebra Structures of the Compact Exceptional Lie Groups E 7 and E 8, Proc. London Math. Soc. (3) 35(1977), 345–358.

    Article  MathSciNet  MATH  Google Scholar 

  13. Lin, J., Torsion in H-Spaces I, Annals of Math. 103(1976), 457–487.

    Article  MATH  Google Scholar 

  14. Lin, J., Torsion in H-Spaces II, Annals of Math. 107(1978), 41–88.

    Article  MATH  Google Scholar 

  15. Massey, W.S., and Peterson, F.P., The Cohomology Structure of Certain Fibre Spaces-I, Topology 4 (1965), 47–65.

    Article  MathSciNet  MATH  Google Scholar 

  16. May, J.P., The Cohomology of Restricted Lie Algebra and of Hopf Algebras, J. Algebra (1966), 123–146.

    Google Scholar 

  17. Milnor, J., The Steenrod Algebra and its Dual, Annals of Math. 67(1958), 150–171.

    Article  MathSciNet  MATH  Google Scholar 

  18. Milnor, J., and Moore, J.C., On the Structure of Hopf Algebras, Annals of Math. 81(1965), 211–264.

    Article  MathSciNet  MATH  Google Scholar 

  19. Rector, D.L., Steenrod Operations in the Eilenberg-Moore Spectral Sequence, Comm. Math. Helv. 45(1970), 540–552.

    Article  MathSciNet  MATH  Google Scholar 

  20. Quillen, D.G., On the Formal Group Laws of Unoriented and Complex Cobordism Theory, Bull. Amer. Math. Soc. 75(1969), 1293–1298.

    Article  MathSciNet  MATH  Google Scholar 

  21. Zabrodsky, A., Secondary Cohomology Operations in the Module of Indecomposables, Algebraic Topology Conference, Aarhus, 1970.

    Google Scholar 

  22. Zabrodsky, A., Some Relations in the Mod 3 Cohomology of H-Spaces, (to appear).

    Google Scholar 

  23. Zahler, R., The Adams-Novikov Spectral Sequence for the Spheres, Annals of Math. 96(1972), 480–504

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Alberta, Edmonton, Alberta

    Richard Kane

Authors
  1. Richard Kane
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1

    Peter Hoffman

  2. Department of Mathematics, University of Western Ontario, London, Ontario, Canada, N6A 5B9

    Victor Snaith

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kane, R. (1979). The mod 3 cohomology of the exceptional lie group E8 . In: Hoffman, P., Snaith, V. (eds) Algebraic Topology Waterloo 1978. Lecture Notes in Mathematics, vol 741. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062158

Download citation

  • DOI: https://doi.org/10.1007/BFb0062158

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09545-3

  • Online ISBN: 978-3-540-35009-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation