Skip to main content
SpringerLink
Log in

Sheets and rigid orbit covers of exceptional Lie groups

  • Bulletin
  • Published:
Chinese Science Bulletin

Abstract

All sheets of exceptional Lie groups by the geometric calculating method are given. The conjecture that the sheets of an exceptional Lie group are disjoint on the basis of the calculating result is proved.

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. Vogan, D., Diximer algebra, sheets and representation theory, in Actes do eolloque en 1′ honneur de Jacques Dixmier,Progress in Math 92, Boston: Birkhauser, 1990, 333–397.

    Google Scholar 

  2. Liang, K., Lu, L., Induction, orbit covers and sheets,J. Algebra, to appear.

  3. Luszug, G., Spaltenstein, N., Induced unipotent classes,J. London Math., 1979, Soc. 19, 41–52.

    Article  Google Scholar 

  4. Collingwood, D. H., MaGovern, W. M.,Nilpatent Orbits in Semisimple Lie Algebras, New York: Van Nostrand Reinhold, 1993.

    Google Scholar 

  5. Spltenstein, N., Classes Unipotents et Sous-Groupes de Borel,Lecture Notes in Math. 946, New York: Springer-Verlag, 1982.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Nankai University, 300071, Tianjin, China

    Ke Liang & Linyuan Lu

Authors
  1. Ke Liang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Linyuan Lu
    View author publications

    You can also search for this author in PubMed Google Scholar

About this article

Cite this article

Liang, K., Lu, L. Sheets and rigid orbit covers of exceptional Lie groups. Chin. Sci. Bull. 43, 1702–1707 (1998). https://doi.org/10.1007/BF02883968

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02883968

Keywords

Search

Navigation