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Russian Mathematical Surveys, 1962, Volume 17, Issue 1, Pages 1–94
DOI: https://doi.org/10.1070/RM1962v017n01ABEH001123
(Mi rm6458)
 

This article is cited in 59 scientific papers (total in 60 papers)

The classical groups. Spectral analysis of their finite-dimensional representations

D. P. Zhelobenko
Received: 07.03.1961
Bibliographic databases:
Document Type: Article
Language: English
Original paper language: Russian
Citation: D. P. Zhelobenko, “The classical groups. Spectral analysis of their finite-dimensional representations”, Russian Math. Surveys, 17:1 (1962), 1–94
Citation in format AMSBIB
\Bibitem{Zhe62}
\by D.~P.~Zhelobenko
\paper The classical groups. Spectral analysis of their finite-dimensional representations
\jour Russian Math. Surveys
\yr 1962
\vol 17
\issue 1
\pages 1--94
\mathnet{http://mi.mathnet.ru/eng/rm6458}
\crossref{https://doi.org/10.1070/RM1962v017n01ABEH001123}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=136664}
\zmath{https://zbmath.org/?q=an:0142.26703}
Linking options:
  • https://www.mathnet.ru/eng/rm6458
  • https://doi.org/10.1070/RM1962v017n01ABEH001123
  • https://www.mathnet.ru/eng/rm/v17/i1/p27
  • This publication is cited in the following 60 articles:
    1. Seamus P. Albion, Ilse Fischer, Hans Höngesberg, Florian Schreier-Aigner, “Skew symplectic and orthogonal characters through lattice paths”, European Journal of Combinatorics, 122 (2024), 104000  crossref
    2. Ben Webster, “Gelfand–Tsetlin modules in the Coulomb context”, Annals of Representation Theory, 1:3 (2024), 393  crossref
    3. E. A. Movchan, “Bazis Gelfanda–Tsetlina dlya neprivodimykh predstavlenii beskonechnomernoi polnoi lineinoi gruppy”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 30, Zap. nauchn. sem. POMI, 532, POMI, SPb., 2024, 235–256  mathnet
    4. T. S. Busel, I. D. Suprunenko, “On the behaviour of unipotent elements from subsystem subgroups of small ranks in irreducible representations of the classical algebraic groups in positive characteristic”, Tr. In-ta matem., 30:1-2 (2022), 117–129  mathnet  mathscinet
    5. Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez, “Classification of simple Gelfand–Tsetlin modules of 𝔰𝔩(3)”, Bull. Math. Sci., 11:03 (2021)  crossref
    6. T. S. Busel, I. D. Suprunenko, “The Block Structure of the Images of Regular Unipotent Elements from Subsystem Symplectic Subgroups of Rank 22 in Irreducible Representations of Symplectic Groups. III”, Sib. Adv. Math., 31:2 (2021), 112  crossref
    7. T. S. Busel, I. D. Suprunenko, “Blochnaya struktura obrazov regulyarnykh unipotentnykh elementov iz podsistemnykh simplekticheskikh podgrupp ranga 2 v neprivodimykh predstavleniyakh simplekticheskikh grupp. III”, Matem. tr., 23:2 (2020), 70–99  mathnet  crossref
    8. G. Gaitan, I. R. Klebanov, K. Pakrouski, P. N. Pallegar, F. K. Popov, “Hagedorn temperature in large N Majorana quantum mechanics”, Phys. Rev. D, 101:12 (2020)  crossref
    9. Cesar Cuenca, Vadim Gorin, “q-Deformed character theory for infinite-dimensional symplectic and orthogonal groups”, Sel. Math. New Ser., 26:3 (2020)  crossref
    10. T. S. Busel, I. D. Suprunenko, “The block structure of the images of regular unipotent elements from subsystem symplectic subgroups of rank 22 in irreducible representations of symplectic groups. I”, Siberian Adv. Math., 30:1 (2020), 1–20  mathnet  crossref  crossref
    11. Yury A. Neretin, “Restriction of Representations of GL (n + 1, ℂ) to GL (n, ℂ) and Action of the Lie Overalgebra”, Algebr Represent Theor, 21:5 (2018), 1087  crossref
    12. Josef Paldus, Josep Planelles, “Valence bond approach and Verma bases”, J Math Chem, 56:6 (2018), 1595  crossref
    13. Basile Herlemont, Oleg Ogievetsky, “Differential Calculus on hh-Deformed Spaces”, SIGMA, 13 (2017), 082, 28 pp.  mathnet  crossref
    14. P. A. Valinevich, S. È. Derkachev, P. P. Kulish, E. M. Uvarov, “Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an SL(n,C)-invariant spin chain”, Theoret. and Math. Phys., 189:2 (2016), 1529–1553  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    15. Andrew Urichuk, Mark A. Walton, “Adjoint affine fusion and tadpoles”, Journal of Mathematical Physics, 57:6 (2016)  crossref
    16. 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
    17. Jennifer Beineke, Ben Brubaker, Sharon Frechette, Multiple Dirichlet Series, L-functions and Automorphic Forms, 2012, 37  crossref
    18. Oded Yacobi, “An analysis of the multiplicity spaces in branching of symplectic groups”, Sel math New ser, 2010  crossref
    19. Yu. A. Neretin, S. M. Khoroshkin, “Mathematical works of D. P. Zhelobenko”, Russian Math. Surveys, 64:1 (2009), 187–198  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    20. S. E. Derkachev, A. N. Manashov, “General solution of the Yung–Baxter equation with symmetry group SL(n,C)”, St. Petersburg Math. J., 21:4 (2010), 513–577  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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