Skip to main content
Log in

Automorphism group of exceptional symmetric domains RVI

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

Here we give the definition of the exceptional symmetric Siegel domain RVI(27) in C27, and compute the exceptional symmetric domain ℛVI(27) = τ(RVI(27)), where t is the Bergman mapping of the Siegel domainR VI (27). Moreover, we present the holomorphical automorphism group Aut (ℛVI(27)) of the exceptional symmetric domain (ℛVI(27)).

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Xu, Y., Exceptional symmetric classical domains, Progress in Natural Science, 1999, 9(5):330.

    MathSciNet  Google Scholar 

  2. Xu, Y., The Siege1 domains of first kind associated with the cones with square type, Acta Math. Sinica, 1978, 21:1.

    MATH  MathSciNet  Google Scholar 

  3. Xu, Y., Classification of square type domains, Scientia Sinica, 1979, 22:375.

    MathSciNet  Google Scholar 

  4. Xu, Y., On the Bergman kernel function of homogeneous bounded domains, Scientia Sinica, 1979, Special Issue II:80.

  5. Xu, Y., Classification of the homogeneous Kaehlerian manifolds acts by real reductive Lie groups, Science in China, 1986, A29:449.

    Google Scholar 

  6. Xu, Y., Wu, L., The holomorphic sectional curvatures of homogeneous bounded domains, Kexue Tongbao, 1983, 28:592.

    MATH  MathSciNet  Google Scholar 

  7. Hua, L. K., Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains, Beijing:Science Press, 1958, 1.

    Google Scholar 

  8. Cartan, É., Sur les domaines bornes homogenes de 1' espace den variables complexes, Abh. Math. Seminar Hamburg, 1935, 11:116.

    MATH  Google Scholar 

  9. Xu, Y., The canonical realization of complex homogeneous bounded domains, Scientia Sinica, 1983, A26:25.

    Google Scholar 

  10. Xu, Y., On the automorphism group of the homogeneous bounded domains, Acta Math. Sinica, 1976, 19:169.

    MATH  MathSciNet  Google Scholar 

  11. Vinbrrg, E. B., The Morozov-Bore1 theorem for real Lie groups, Dokl. Akad. Nauk SSSR, 1961, 141:270, Trans. Soviet Math. Dokl. 1961, 2:1416.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xu, Y. Automorphism group of exceptional symmetric domains RVI . Sci. China Ser. A-Math. 43, 1035–1045 (2000). https://doi.org/10.1007/BF02898237

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02898237

Keywords

Navigation