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Trudy Mat. Inst. Steklov., 1950, Volume 36, Pages 3–288 (Mi tm1100)  

This article is cited in 36 scientific papers (total in 39 papers)

Unitary representations of the classical groups

I. M. Gel'fand, M. A. Naimark

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Citation: I. M. Gel'fand, M. A. Naimark, “Unitary representations of the classical groups”, Trudy Mat. Inst. Steklov., 36, Acad. Sci. USSR, Moscow–Leningrad, 1950, 3–288

Citation in format AMSBIB
\by I.~M.~Gel'fand, M.~A.~Naimark
\paper Unitary representations of the classical groups
\serial Trudy Mat. Inst. Steklov.
\yr 1950
\vol 36
\pages 3--288
\publ Acad. Sci. USSR
\publaddr Moscow--Leningrad

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    This publication is cited in the following articles:
    1. D. P. Zhelobenko, “The analysis of irreducibility in the class of elementary representations of a complex semisimple Lie group”, Math. USSR-Izv., 2:1 (1968), 105–128  mathnet  crossref  mathscinet  zmath
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    4. A. N. Leznov, M. V. Saveliev, “Characters of the irreducible representations of the pseudounitary group $U(p,q)$. II”, Theoret. and Math. Phys., 4:3 (1970), 854–862  mathnet  crossref
    5. D. P. Zhelobenko, M. A. Naimark, “Description of the completely irreducible representations of a complex semisimple Lie group”, Math. USSR-Izv., 4:1 (1970), 59–83  mathnet  crossref  mathscinet  zmath
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    7. E. V. Kissin, “Razlozhenie tenzornogo proizvedeniya nekotorykh predstavlenii gruppy $SL(n,C)$ na neprivodimye predstavleniya”, UMN, 26:1(157) (1971), 225–226  mathnet  mathscinet  zmath
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    9. A. N. Leznov, M. V. Saveliev, “Plancherel measure of the principal continuous series of unitary representations of $U(p, q)$”, Theoret. and Math. Phys., 82:2 (1971), 743–753  mathnet  crossref  mathscinet  zmath
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    13. G. I. Olshanskii, “Intertwining operators and complementary series in the class of representations induced from parabolic subgroups of the general linear group over a locally compact division algebra”, Math. USSR-Sb., 22:2 (1974), 217–255  mathnet  crossref  mathscinet  zmath
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    15. Klimyk A.I., “Infinitesimal Operators and Matrix–Elements of the Most Degenerate Series Representations of Groups”, Dopovidi Akademii Nauk Ukrainskoi Rsr Seriya A–Fiziko–Matematichni Ta Technichni Nauki, 1982, no. 11, 13–16  isi
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    17. N. I. Nessonov, “A complete classification of the representations of $\mathrm{GL}(\infty)$ containing the identity representation of the unitary subgroup”, Math. USSR-Sb., 58:1 (1987), 127–147  mathnet  crossref  mathscinet  zmath  isi
    18. Zelevinskii A.V., Retakh V.S., “The fundamental affine space and canonical basis in irreducible representations of the group $\mathrm{Sp}_4$”, Doklady Akademii Nauk Sssr, 300:1 (1988), 31–35  mathnet  isi
    19. D. V. Yur'ev, “A certain module over the binary-Lie central extension $\mathsf{jl_2}(\mathbb C)$ of the double $\mathsf{sl_2}(\mathbb C)+\mathsf{sl_2}(\mathbb C)$”, Russian Math. Surveys, 46:6 (1991), 233–234  mathnet  crossref  mathscinet  zmath  adsnasa  isi
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    24. “Teacher about His Disciple. Four Reviews by A. N. Kolmogorov on the Works of I. M. Gelfand (On the 90th Birthday of Izrail Moiseevich Gelfand)”, Funct. Anal. Appl., 37:4 (2003), 243–250  mathnet  crossref  crossref  mathscinet  zmath
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    27. S. V. Lyudkovskii, “Topological Transformation Groups of Manifolds over Non-Archimedean Fields, Their Representations, and Quasi-Invariant Measures, II”, Journal of Mathematical Sciences, 150:4 (2008), 2123–2223  mathnet  crossref  mathscinet  elib
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    29. Sergey É Derkachov, Alexander N. Manashov, “$\mathcal R$-Matrix and Baxter $\mathcal Q$-Operators for the Noncompact $\mathrm{SL}(N,\mathbb C)$ Invariant Spin Chain”, SIGMA, 2 (2006), 084, 20 pp.  mathnet  crossref  mathscinet  zmath
    30. Yu. A. Neretin, “$K$-Finite Matrix Elements of Irreducible Harish-Chandra Modules are Hypergeometric”, Funct. Anal. Appl., 41:4 (2007), 295–302  mathnet  crossref  crossref  mathscinet  zmath  isi
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    39. P. A. Valinevich, S. E. Derkachev, A. P. Isaev, “SOS-predstavlenie dlya $SL(2,\mathbb C)$-invariantnogo $R$-operatora i diagrammy Feinmana”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 24, Zap. nauchn. sem. POMI, 465, POMI, SPb., 2017, 82–104  mathnet
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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