Skip to main content
Log in

A new class of compact spherical spaces

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We describe a class of almost symmetric spherical spaces which is absent in the known classifications made by M. Krämer and I. Mikityuk.

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.

References

  1. M. Krämer, “Sphärische Untergruppen in kompakten zusammenhängenden Liegnippen,” Compos. Math., 38, No. 2, 129–153 (1979).

    MATH  Google Scholar 

  2. E. B. Vinberg and B. N. Kimel’fel’d, “Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups,” Funkts. Anal. Prilozh., 12, No. 3, 12–19 (1978).

    MathSciNet  Google Scholar 

  3. O. Loos, Symmetric Spaces [Russian translation], Nauka, Moscow (1985).

    Google Scholar 

  4. Yu. V. Dzyadyk, “Representations realized in vector fields on compact symmetric spaces,” Dokl. Akad. Nauk SSSR, 220, No. 6, 1259–1262 (1975).

    MathSciNet  Google Scholar 

  5. Yu. V. Dzyadyk, Spectrum of the Induced Representation on a Compact Symmetric Space [in Russian], Candidate-Degree Thesis (Physics and Mathematics), Kiev (1975).

  6. A. K. Prikarpatskii and I. V. Mikityuk, Algebraic Aspects of Integrability of Nonlinear Dynamical Systems on Manifolds [in Russian], Naukova Dumka, Kiev (1991).

    Google Scholar 

  7. I. V. Mikityuk, Integrability of Invariant Hamiltonian Systems with Homogeneous Configuration Spaces [in Russian], Preprint No. 30P, Institute for Theoretical Physics, Ukrainian Academy of Sciences. Kiev (1985); see also Mat. Sb., 129, No. 4, 514–534 (1986).

    Google Scholar 

  8. M. Brion, “Classification des espaces homogénes sphériques,” Compos. Math., 63, No. 2, 189–208 (1987).

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 11, pp. 1559–1563, November, 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dzyadyk, Y.V. A new class of compact spherical spaces. Ukr Math J 50, 1780–1785 (1998). https://doi.org/10.1007/BF02524485

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02524485

Keywords

Navigation