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Funktsional'nyi Analiz i ego Prilozheniya, 1986, Volume 20, Issue 2, Pages 25–37 (Mi faa1269)  

This article is cited in 50 scientific papers (total in 50 papers)

Singular vectors in Verma modules over Kac–Moody algebras

F. G. Malikov, B. L. Feigin, D. B. Fuchs
References:
Received: 26.12.1984
English version:
Functional Analysis and Its Applications, 1986, Volume 20, Issue 2, Pages 103–113
DOI: https://doi.org/10.1007/BF01077264
Bibliographic databases:
Document Type: Article
UDC: 519.46
Language: Russian
Citation: F. G. Malikov, B. L. Feigin, D. B. Fuchs, “Singular vectors in Verma modules over Kac–Moody algebras”, Funktsional. Anal. i Prilozhen., 20:2 (1986), 25–37; Funct. Anal. Appl., 20:2 (1986), 103–113
Citation in format AMSBIB
\Bibitem{MalFeiFuc86}
\by F.~G.~Malikov, B.~L.~Feigin, D.~B.~Fuchs
\paper Singular vectors in Verma modules over Kac--Moody algebras
\jour Funktsional. Anal. i Prilozhen.
\yr 1986
\vol 20
\issue 2
\pages 25--37
\mathnet{http://mi.mathnet.ru/faa1269}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=847136}
\zmath{https://zbmath.org/?q=an:0616.17010}
\transl
\jour Funct. Anal. Appl.
\yr 1986
\vol 20
\issue 2
\pages 103--113
\crossref{https://doi.org/10.1007/BF01077264}
Linking options:
  • https://www.mathnet.ru/eng/faa1269
  • https://www.mathnet.ru/eng/faa/v20/i2/p25
  • This publication is cited in the following 50 articles:
    1. Leszek Hadasz, Błażej Ruba, “Decomposition of ^sl2,k  ^sl2,1 Highest Weight Representations for Generic Level k and Equivalence Between Two-Dimensional CFT Models”, Commun. Math. Phys., 406:4 (2025)  crossref
    2. Andrey Mudrov, “Shapovalov elements of classical and quantum groups”, Journal of Pure and Applied Algebra, 228:7 (2024), 107634  crossref
    3. D. Algethami, A. I. Mudrov, “Shapovalov elements and Hasse diagrams”, Theoret. and Math. Phys., 216:3 (2023), 1255–1264  mathnet  crossref  crossref  mathscinet  adsnasa
    4. Zachary Fehily, “Subregular W-algebras of type A”, Commun. Contemp. Math., 25:09 (2023)  crossref
    5. Dražen Adamović, Ozren Perše, Ivana Vukorepa, “On the representation theory of the vertex algebra L-5/2(sl(4))”, Commun. Contemp. Math., 25:02 (2023)  crossref
    6. Andrea Dei, Lorenz Eberhardt, “String correlators on AdS3: four-point functions”, J. High Energ. Phys., 2021:9 (2021)  crossref
    7. A. N. Varchenko, “An Invariant Subbundle of the KZ Connection mod p and Reducibility of ^sl2 Verma Modules mod p”, Math. Notes, 109:3 (2021), 386–397  mathnet  mathnet  crossref  isi  scopus
    8. Jørgen Rasmussen, “Staggered and affine Kac modules over A1(1)”, Nuclear Physics B, 950 (2020), 114865  crossref
    9. Alexey Slinkin, Alexander Varchenko, “Twisted de Rham Complex on Line and Singular Vectors in ^sl2 Verma Modules”, SIGMA, 15 (2019), 075, 26 pp.  mathnet  crossref
    10. Andrea Dei, Lorenz Eberhardt, Matthias R. Gaberdiel, “Three-point functions in AdS3/CFT2 holography”, J. High Energ. Phys., 2019:12 (2019)  crossref
    11. Thomas Creutzig, Shashank Kanade, Tianshu Liu, David Ridout, “Cosets, characters and fusion for admissible-level osp(1|2) minimal models”, Nuclear Physics B, 938 (2019), 22  crossref
    12. Kanade Sh., “On a Koszul Complex Related to the Principal Subspace of the Basic Vacuum Module For a(1)((1))”, J. Pure Appl. Algebr., 222:2 (2018), 323–339  crossref  isi
    13. Wei Xiao, “Differential-operator representations of Weyl group and singular vectors in Verma modules”, Sci. China Math., 61:6 (2018), 1013  crossref
    14. Jing N., Wang C., “Modules of the Toroidal Lie Algebra (Sic)”, Bull. Iran Math. Soc., 43:1 (2017), 17–24  isi
    15. Vadim Schechtman, Alexander Varchenko, “Rational differential forms on the line and singular vectors in Verma modules over ^sl2”, Mosc. Math. J., 17:4 (2017), 787–802  mathnet  crossref
    16. Tomoyuki Arakawa, Springer INdAM Series, 19, Perspectives in Lie Theory, 2017, 179  crossref
    17. Jaewon Song, “Macdonald index and chiral algebra”, J. High Energ. Phys., 2017:8 (2017)  crossref
    18. Arakawa T., “Associated Varieties of Modules Over Kac-Moody Algebras and C-2-Cofiniteness of W-Algebras”, Int. Math. Res. Notices, 2015, no. 22, 11605–11666  crossref  isi
    19. Wei Xiao, “Differential equations and singular vectors in Verma modules over sl(n, ℂ)”, Acta. Math. Sin.-English Ser., 31:7 (2015), 1057  crossref
    20. Thomas Creutzig, David Ridout, “Modular data and Verlinde formulae for fractional level WZW models II”, Nuclear Physics B, 875:2 (2013), 423  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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