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


Unitary Representation DOKLADY Mathematic Principal Series Irreducible Unitary Representation Identity Character 
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    I. M. Gelfand and M. A. Naimark, Tr. Mat. Inst. im. V.A. Steklova, Akad. Nauk SSSR 36, 1950.Google Scholar
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    I. M. Gelfand and M. I. Graev, Izv. Akad. Nauk SSSR, Ser. Mat. 71, 1329–1358 (1965).MathSciNetGoogle Scholar
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    I. M. Gelfand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Representation Theory and Automorphic Functions (Nauka, Moscow, 1966; Saunders, Philadelphia, 1968).Google Scholar
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    M. I. Graev, Dokl. Math. 68, 204–210 (2003) [Dokl. Akad. Nauk 392, 301–308 (2003)].Google Scholar
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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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