J. H. Bernstein, I. M. Gel'fand, S. I. Gel'fand, “Models of representations of compact Lie groups”, Funktsional. Anal. i Prilozhen., 9:4 (1975), 61–62; Funct. Anal. Appl., 9:4 (1975), 322

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Funktsional'nyi Analiz i ego Prilozheniya, 1975, Volume 9, Issue 4, Pages 61–62 (Mi faa2284)

This article is cited in 15 scientific papers (total in 16 papers)

Brief communications

Models of representations of compact Lie groups

J. H. Bernstein, I. M. Gel'fand, S. I. Gel'fand

Full-text PDF (301 kB) Citations (16)

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Received: 27.03.1975

English version:
Functional Analysis and Its Applications, 1975, Volume 9, Issue 4, Pages 322–324
DOI: https://doi.org/10.1007/BF01075880

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: J. H. Bernstein, I. M. Gel'fand, S. I. Gel'fand, “Models of representations of compact Lie groups”, Funktsional. Anal. i Prilozhen., 9:4 (1975), 61–62; Funct. Anal. Appl., 9:4 (1975), 322–324

Citation in format AMSBIB

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\by J.~H.~Bernstein, I.~M.~Gel'fand, S.~I.~Gel'fand

\paper Models of representations of compact Lie groups

\jour Funktsional. Anal. i Prilozhen.

\yr 1975

\vol 9

\issue 4

\pages 61--62

\mathnet{http://mi.mathnet.ru/faa2284}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=414792}

\zmath{https://zbmath.org/?q=an:0339.22009}

\transl

\jour Funct. Anal. Appl.

\yr 1975

\vol 9

\issue 4

\pages 322--324

\crossref{https://doi.org/10.1007/BF01075880}

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https://www.mathnet.ru/eng/faa2284

https://www.mathnet.ru/eng/faa/v9/i4/p61

This publication is cited in the following 16 articles:

Jorge Soto-Andrade, Maria-Francisca Yáñez-Valdés, “On the realization of the Gelfand character of a finite group as a twisted trace”, Journal of Group Theory, 25:3 (2022), 509
Sangjib Kim, Soo Teck Lee, “Hodge dual operators and model algebras for rational representations of the general linear group”, Journal of Algebra, 562 (2020), 497
A. M. Vershik, “Three Theorems on the Uniqueness of the Plancherel Measure from Different Viewpoints”, Proc. Steklov Inst. Math., 305 (2019), 63–77
D. J. Rowe, M. J. Carvalho, J. Repka, “Dual pairing of symmetry and dynamical groups in physics”, Rev. Mod. Phys., 84:2 (2012), 711
Daniel S. Sage, Maria D. Vega, “Twisted Frobenius–Schur indicators for Hopf algebras”, Journal of Algebra, 354:1 (2012), 136
Manu Mathur, Indrakshi Raychowdhury, T P Sreeraj, “Invariants, projection operators and SU(N)×SU(N) irreducible Schwinger bosons”, Journal of Mathematical Physics, 52:11 (2011)
Manu Mathur, Indrakshi Raychowdhury, Ramesh Anishetty, “SU(N) irreducible Schwinger bosons”, Journal of Mathematical Physics, 51:9 (2010)
S. Chaturvedi, G. Marmo, N. Mukunda, R. Simon, “Schwinger representation for the symmetric group: Two explicit constructions for the carrier space”, Physics Letters A, 372:21 (2008), 3763
Daniel Bump, David Ginzburg, “Generalized Frobenius–Schur numbers”, Journal of Algebra, 278:1 (2004), 294
William M McGovern, “Rings of regular functions on nilpotent orbits 11:model algebras and orbits”, Communications in Algebra, 22:3 (1994), 765
A O Barut, A J Bracken, “The remarkable algebra so*(2n), its representations, its Clifford algebra and potential applications”, J. Phys. A: Math. Gen., 23:5 (1990), 641
O. K. Sheinman, “Kernel of evolution operator in the space of sections of a vector bundle as integral over trajectories”, Funct. Anal. Appl., 22:3 (1988), 251–253
N. N. Bogolyubov, S. G. Gindikin, A. A. Kirillov, A. N. Kolmogorov, S. P. Novikov, L. D. Faddeev, Collected Papers, 1987, 812
J Deenen, C Quesne, “The SO(6, 2) model of SU(3) and its generalisation to SU(n)”, J. Phys. A: Math. Gen., 19:17 (1986), 3463
N. N. Bogolyubov, S. G. Gindikin, A. A. Kirillov, A. N. Kolmogorov, S. P. Novikov, L. D. Faddeev, “Izrail' Moiseevich Gel'fand (on his seventieth birthday)”, Russian Math. Surveys, 38:6 (1983), 145–153
A. W. Knapp, Lecture Notes in Mathematics, 1020, Non Commutative Harmonic Analysis and Lie Groups, 1983, 107

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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Abstract page:	641
Full-text PDF :	222
References:	114
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