Skip to main content

A homological characterization of inner automorphisms of compact lie groups

Research Papers

Part of the Lecture Notes in Mathematics book series (LNM,volume 664)

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   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
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. R. Brown, On the power map in compact groups, Quart. J. Math. 22 (1971), 395–400.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. _____, On the power map in compact groups, II, Rocky Mt. J. Math. 3 (1973), 9–10.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. _____, Cohomology of homomorphisms of Lie algebras and Lie groups, Pac. J. Math. 69 (1977), 325–332.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. C. Chevalley and S. Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc. 63 (1948), 85–124.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, 1962.

    Google Scholar 

  6. J. Koszul, Homologie et cohomologie des algèbres de Lie, Bull. Soc. Math. France 78 (1950), 65–127.

    MathSciNet  MATH  Google Scholar 

  7. V. Varadarajan, Lie Groups, Lie Algebras, and Their Representations, Prentice-Hall, 1974.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this chapter

Cite this chapter

Brown, R.F. (1978). A homological characterization of inner automorphisms of compact lie groups. In: Millett, K.C. (eds) Algebraic and Geometric Topology. Lecture Notes in Mathematics, vol 664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061688

Download citation

  • DOI: https://doi.org/10.1007/BFb0061688

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08920-9

  • Online ISBN: 978-3-540-35758-2

  • eBook Packages: Springer Book Archive