Hiroshima Mathematical Journal

Notes on elements of ${\rm U}(1,n;{\bf C})$

Shigeyasu Kamiya

Full-text: Open access

Article information

Source
Hiroshima Math. J., Volume 21, Number 1 (1991), 23-45.

Dates
First available in Project Euclid: 21 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1206128922

Digital Object Identifier
doi:10.32917/hmj/1206128922

Mathematical Reviews number (MathSciNet)
MR1091431

Zentralblatt MATH identifier
0721.30033

Subjects
Primary: 22E40: Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]
Secondary: 20H10: Fuchsian groups and their generalizations [See also 11F06, 22E40, 30F35, 32Nxx] 30F40: Kleinian groups [See also 20H10]

Citation

Kamiya, Shigeyasu. Notes on elements of ${\rm U}(1,n;{\bf C})$. Hiroshima Math. J. 21 (1991), no. 1, 23--45. doi:10.32917/hmj/1206128922. https://projecteuclid.org/euclid.hmj/1206128922


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References

  • [1] A. F. Beardon, The geometry of discrete groups, Graduate Texts in Mathematics 91, Springer, New York, Heidelberg, Berlin, 1983.
  • [2] A. F. Beardon and J. Wilker, The norm of a Mobius transformation, Math. Proc. Camb. Phil. Soc. 96 (1984), 301-308.
  • [3] S. S. Chen and L. Greenberg, Hyperbolic spaces, Contributions to Analysis, Academic Press, New York, (1974), 49-87.
  • [4] L. Greenberg, Discrete subgroups of the Lorentz group, Math. Scand. 10 (1962), 85-107.
  • [5] S. Kamiya, Notes on non-discrete subgroups of U(l, n; F), Hiroshima Math. J. 13 (1983), 501-506.
  • [6] J. Lehner, Discontinuous groups and automorphic functions, Mathematical Surveys, No. VIII, American Mathematical Society, Providence, 1964.