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Doklady Mathematics

, Volume 75, Issue 1, pp 31–35 | Cite as

A continuous analogue of Gelfand-Tsetlin schemes and a realization of the principal series of irreducible unitary representations of the group GL(n, ℂ) in the space of functions on the variety of these schemes

  • M. I. Graev
Mathematics

Keywords

Unitary Representation DOKLADY Mathematic Principal Series Irreducible Unitary Representation Identity Character 
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References

  1. 1.
    I. M. Gelfand and M. A. Naimark, Tr. Mat. Inst. im. V.A. Steklova, Akad. Nauk SSSR 36, 1950.Google Scholar
  2. 2.
    I. M. Gelfand and M. L. Tsetlin, Dokl. Akad. Nauk SSSR 71, 825–828 (1950).Google Scholar
  3. 3.
    I. M. Gelfand and M. I. Graev, Izv. Akad. Nauk SSSR, Ser. Mat. 71, 1329–1358 (1965).MathSciNetGoogle Scholar
  4. 4.
    I. M. Gelfand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Representation Theory and Automorphic Functions (Nauka, Moscow, 1966; Saunders, Philadelphia, 1968).Google Scholar
  5. 5.
    M. I. Graev, Dokl. Math. 68, 204–210 (2003) [Dokl. Akad. Nauk 392, 301–308 (2003)].Google Scholar
  6. 6.
    M. I. Graev, Acta Appl. Math. 81, 93–120 (2004).zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  • M. I. Graev
    • 1
  1. 1.Research Institute for System StudiesRussian Academy of SciencesMoscowRussia

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