Skip to main content
SpringerLink
Log in

On Normal Subgroups of Semisimple Lie Groups

  • Published:
Results in Mathematics Aims and scope Submit manuscript

Abstract

We prove that normal subgroups of a finite dimensional real, not necessarily connected, Lie group with semisimple Lie algebra are closed. This generalizes a result of Ragozin (Proc AMS 32:632–633, 1972) who proved this for connected Lie groups; our proof is new even in this special case.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bourbaki N.: Lie Groups and Lie Algebras, Chapters 1–3. Springer, Berlin (1989)

    MATH  Google Scholar 

  2. Ragozin D.L.: A normal subgroup of a semi simple Lie group is closed. Proc. AMS 32(2), 632–633 (1972)

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics and Sciences Unit, Dhofar University, P. O. Box 2509, P. C. 211, Salalah, Sultanate of Oman

    A. A. George Michael

Authors
  1. A. A. George Michael
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. A. George Michael.

Rights and permissions

Reprints and permissions

About this article

Cite this article

George Michael, A.A. On Normal Subgroups of Semisimple Lie Groups. Results. Math. 58, 37–38 (2010). https://doi.org/10.1007/s00025-010-0038-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00025-010-0038-0

Mathematics Subject Classification (2010)

Keywords

Search

Navigation