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Funktsional'nyi Analiz i ego Prilozheniya, 1984, Volume 18, Issue 3, Pages 14–31 (Mi faa1471)  

This article is cited in 27 scientific papers (total in 27 papers)

Models of representations of classical groups and their hidden symmetries

I. M. Gel'fand, A. V. Zelevinskii
References:
Received: 15.03.1984
English version:
Functional Analysis and Its Applications, 1984, Volume 18, Issue 3, Pages 183–198
DOI: https://doi.org/10.1007/BF01086156
Bibliographic databases:
Document Type: Article
UDC: 519,46
Language: Russian
Citation: I. M. Gel'fand, A. V. Zelevinskii, “Models of representations of classical groups and their hidden symmetries”, Funktsional. Anal. i Prilozhen., 18:3 (1984), 14–31; Funct. Anal. Appl., 18:3 (1984), 183–198
Citation in format AMSBIB
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\by I.~M.~Gel'fand, A.~V.~Zelevinskii
\paper Models of representations of classical groups and their hidden symmetries
\jour Funktsional. Anal. i Prilozhen.
\yr 1984
\vol 18
\issue 3
\pages 14--31
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=757246}
\zmath{https://zbmath.org/?q=an:0556.22003|0573.22008}
\transl
\jour Funct. Anal. Appl.
\yr 1984
\vol 18
\issue 3
\pages 183--198
\crossref{https://doi.org/10.1007/BF01086156}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984ACN9800002}
Linking options:
  • https://www.mathnet.ru/eng/faa1471
  • https://www.mathnet.ru/eng/faa/v18/i3/p14
  • This publication is cited in the following 27 articles:
    1. Hongjia Chen, Qi Chen, “Finite Dimensional Representations of the BC-graded Lie Algebra g2n+1(Cq)”, Front. Math, 19:3 (2024), 509  crossref
    2. D. V. Artamonov, “Models of representations for classical series of Lie algebras”, Izv. Math., 88:5 (2024), 815–855  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. Meng-Kiat Chuah, Jing-Song Huang, Joseph A. Wolf, “Partial Dirac cohomology and tempered representations”, Journal of Functional Analysis, 284:6 (2023), 109822  crossref
    4. Nathan Benjamin, Ying-Hsuan Lin, “Lessons from the Ramond sector”, SciPost Phys., 9:5 (2020)  crossref
    5. Meng-Kiat Chuah, Jing-Song Huang, “Dirac cohomology and geometric quantization”, Journal für die reine und angewandte Mathematik (Crelles Journal), 2016:720 (2016), 33  crossref
    6. V. V. Shtepin, D. L. Konashenkov, “Characters and dimensions of highest-weight representations of the intermediate Lie group Dn1/2”, Izv. Math., 78:3 (2014), 621–639  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. Meng-Kiat Chuah, “Partially harmonic forms and models of H -series”, Journal of Functional Analysis, 266:5 (2014), 2740  crossref
    8. Matthew B. Hastings, Chetan Nayak, Zhenghan Wang, “Metaplectic anyons, Majorana zero modes, and their computational power”, Phys. Rev. B, 87:16 (2013)  crossref
    9. 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)  crossref
    10. Manu Mathur, Indrakshi Raychowdhury, Ramesh Anishetty, “SU(N) irreducible Schwinger bosons”, Journal of Mathematical Physics, 51:9 (2010)  crossref
    11. 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  crossref
    12. Meng-Kiat Chuah, “Regular principal models of split semisimple Lie groups”, Journal für die reine und angewandte Mathematik (Crelles Journal), 2008:623 (2008)  crossref
    13. Hongjia Chen, Yun Gao, “BCN-graded Lie algebras arising from fermionic representations”, Journal of Algebra, 308:2 (2007), 545  crossref
    14. Meng-Kiat Chuah, “Geometric quantization and Zuckerman models of semisimple Lie groups”, Forum Mathematicum, 19:5 (2007)  crossref
    15. A.I. Molev, Handbook of Algebra, 4, 2006, 109  crossref
    16. Meng-Kiat Chuah, “Reinhardt domains and toric models”, Michigan Math. J., 51:1 (2003)  crossref
    17. Meng-Kiat Chuah, “Holomorphic Discrete Models of Semisimple Lie Groups and their Symplectic Constructions”, Journal of Functional Analysis, 175:1 (2000), 17  crossref
    18. Meng-Kiat Chuah, “Kähler structures on complex torus”, J Geom Anal, 10:2 (2000), 257  crossref
    19. D. V. Yur'ev, “Complex projective geometry and quantum projective field theory”, Theoret. and Math. Phys., 101:3 (1994), 1387–1403  mathnet  crossref  mathscinet  zmath  isi
    20. D. V. Yur'ev, “Quantum projective field theory: Quantum-field analogs of the Euler–Arnol'd equations in projective G multiplets”, Theoret. and Math. Phys., 98:2 (1994), 147–161  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Функциональный анализ и его приложения Functional Analysis and Its Applications
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