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Funktsional. Anal. i Prilozhen., 1971, Volume 5, Issue 1, Pages 1–9 (Mi faa2556)  

This article is cited in 13 scientific papers (total in 13 papers)

Structure of representations generated by vectors of highest weight

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


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English version:
Functional Analysis and Its Applications, 1971, 5:1, 1–8

Bibliographic databases:

Received: 05.10.1970

Citation: J. H. Bernstein, I. M. Gel'fand, S. I. Gel'fand, “Structure of representations generated by vectors of highest weight”, Funktsional. Anal. i Prilozhen., 5:1 (1971), 1–9; Funct. Anal. Appl., 5:1 (1971), 1–8

Citation in format AMSBIB
\Bibitem{BerGelGel71}
\by J.~H.~Bernstein, I.~M.~Gel'fand, S.~I.~Gel'fand
\paper Structure of representations generated by vectors of highest weight
\jour Funktsional. Anal. i Prilozhen.
\yr 1971
\vol 5
\issue 1
\pages 1--9
\mathnet{http://mi.mathnet.ru/faa2556}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=291204}
\zmath{https://zbmath.org/?q=an:0246.17008}
\transl
\jour Funct. Anal. Appl.
\yr 1971
\vol 5
\issue 1
\pages 1--8
\crossref{https://doi.org/10.1007/BF01075841}


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

    This publication is cited in the following articles:
    1. V. G. Kats, “O neprivodimykh predstavleniyakh algebr Li klassicheskogo tipa”, UMN, 27:5(167) (1972), 237–238  mathnet  mathscinet  zmath
    2. N. N. Shapovalov, “On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra”, Funct. Anal. Appl., 6:4 (1972), 307–312  mathnet  crossref  mathscinet  zmath
    3. D. P. Zhelobenko, “Cyclic modules for a complex semisimple Lie group”, Math. USSR-Izv., 7:3 (1973), 497–510  mathnet  crossref  mathscinet  zmath
    4. D. P. Zhelobenko, “Discrete symmetry operators for reductive Lie groups”, Math. USSR-Izv., 10:5 (1976), 1003–1029  mathnet  crossref  mathscinet  zmath
    5. J. H. Bernstein, I. M. Gel'fand, S. I. Gel'fand, “Category of $\mathfrak{g}$-modules”, Funct. Anal. Appl., 10:2 (1976), 87–92  mathnet  crossref  mathscinet  zmath
    6. I. B. Penkov, “Characters of typical irreducible finite-dimensional $\mathfrak{q}(n)$-modules”, Funct. Anal. Appl., 20:1 (1986), 30–37  mathnet  crossref  mathscinet  zmath  isi
    7. D. B. Fuchs, “Two projections of singular vectors of Verma modules over the affine Lie albegra $A_1^1$”, Funct. Anal. Appl., 23:2 (1989), 154–156  mathnet  crossref  mathscinet  zmath  isi
    8. 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
    9. O. K. Sheinman, “Weil Modules with Highest Weight for Affine Lie Algebras on Riemann Surfaces”, Funct. Anal. Appl., 29:1 (1995), 44–55  mathnet  crossref  mathscinet  zmath  isi
    10. Dmitry Fuchs, Constance Wilmarth, “Projections of Singular Vectors of Verma Modules over Rank 2 Kac–Moody Lie Algebras”, SIGMA, 4 (2008), 059, 11 pp.  mathnet  crossref  mathscinet  zmath
    11. V. D. Lyakhovsky, A. A. Nazarov, “Recursive properties of branching and BGG resolution”, Theoret. and Math. Phys., 169:2 (2011), 1551–1560  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    12. A. N. Panov, “Representations of filtered solvable Lie algebras”, Sb. Math., 203:1 (2012), 75–87  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    13. J. Math. Sci. (N. Y.), 213:5 (2016), 637–650  mathnet  crossref  mathscinet
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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