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Funktsional'nyi Analiz i ego Prilozheniya, 1999, Volume 33, Issue 3, Pages 59–72
DOI: https://doi.org/10.4213/faa366
(Mi faa366)
 

This article is cited in 25 scientific papers (total in 25 papers)

Five Exceptional Simple Lie Superalgebras of Vector Fields

I. M. Shchepochkina

Independent University of Moscow
References:
Received: 12.03.1998
English version:
Functional Analysis and Its Applications, 1999, Volume 33, Issue 3, Pages 208–219
DOI: https://doi.org/10.1007/BF02465205
Bibliographic databases:
Document Type: Article
UDC: 519.46
Language: Russian
Citation: I. M. Shchepochkina, “Five Exceptional Simple Lie Superalgebras of Vector Fields”, Funktsional. Anal. i Prilozhen., 33:3 (1999), 59–72; Funct. Anal. Appl., 33:3 (1999), 208–219
Citation in format AMSBIB
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\paper Five Exceptional Simple Lie Superalgebras of Vector Fields
\jour Funktsional. Anal. i Prilozhen.
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\pages 59--72
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\jour Funct. Anal. Appl.
\yr 1999
\vol 33
\issue 3
\pages 208--219
\crossref{https://doi.org/10.1007/BF02465205}
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Linking options:
  • https://www.mathnet.ru/eng/faa366
  • https://doi.org/10.4213/faa366
  • https://www.mathnet.ru/eng/faa/v33/i3/p59
  • This publication is cited in the following 25 articles:
    1. Sofiane Bouarroudj, Alexei Lebedev, Dimitry Leites, Irina Shchepochkina, “Classification of Simple Lie Superalgebras in Characteristic 2”, International Mathematics Research Notices, 2023:1 (2023), 54  crossref
    2. Cederwall M., “Sl(5) Supersymmetry”, Fortschritte Phys.-Prog. Phys., 69:11-12 (2021), 2100116, 2100116  crossref  isi
    3. Sofiane Bouarroudj, Pavel Grozman, Alexei Lebedev, Dimitry Leites, Irina Shchepochkina, “Simple Vectorial Lie Algebras in Characteristic 2 and their Superizations”, SIGMA, 16 (2020), 089, 101 pp.  mathnet  crossref
    4. Cantarini N., Caselli F., “Low Degree Morphisms of E(5,10)-Generalized Verma Modules”, Algebr. Represent. Theory, 23:6 (2020), 2131–2165  crossref  isi
    5. Bouarroudj S. Krutov A. Leites D. Shchepochkina I., “Non-Degenerate Invariant (Super)Symmetric Bilinear Forms on Simple Lie (Super)Algebras”, Algebr. Represent. Theory, 21:5 (2018), 897–941  crossref  mathscinet  zmath  isi  scopus
    6. Sun L., Liu W., “Hom–Lie Superalgebra Structures on Exceptional Simple Lie Superalgebras of Vector Fields”, Open Math., 15 (2017), 1332–1343  crossref  mathscinet  zmath  isi  scopus
    7. Peniche, R, “On Heisenberg-like Super Group Structures”, Annales Henri Poincare, 10:7 (2010), 1395  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    8. Iyer U.N., Leites D., Messaoudene M., Shchepochkina I., “Examples of Simple Vectorial Lie Algebras in Characteristic 2”, J Nonlinear Math Phys, 17, Suppl. 1 (2010), 311–374  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    9. Poletaeva E., “On Exceptional Superconformal Algebras”, Lie Theory and its Applications in Physics, AIP Conference Proceedings, 1243, 2010, 231–237  crossref  mathscinet  zmath  adsnasa  isi  scopus
    10. Konstein, SE, “Deformations and central extensions of the antibracket superalgebra”, Journal of Mathematical Physics, 49:7 (2008), 072103  crossref  mathscinet  zmath  adsnasa  isi  scopus
    11. Poletaeva, E, “Matrix realizations of exceptional superconformal algebras”, Journal of Geometry and Physics, 58:6 (2008), 761  crossref  mathscinet  zmath  adsnasa  isi  scopus
    12. P. Ya. Grozman, D. A. Leites, “Nonholonomic Riemann and Weyl tensors for flag manifolds”, Theoret. and Math. Phys., 153:2 (2007), 1511–1538  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    13. Poletaeva, E, “Embedding of the Lie superalgebra D(2,1;alpha) into the Lie superalgebra of pseudodifferential symbols on S-1 vertical bar 2”, Journal of Mathematical Physics, 48:10 (2007), 103504  crossref  mathscinet  zmath  adsnasa  isi  scopus
    14. I. M. Shchepochkina, “How to realize a Lie algebra by vector fields”, Theoret. and Math. Phys., 147:3 (2006), 821–838  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    15. Poletaeva, E, “Exceptional N=6 superconformal algebra”, Journal of Mathematical Physics, 46:10 (2005), 103504  crossref  mathscinet  zmath  adsnasa  isi  scopus
    16. Dimitriy Leites, Concise Encyclopedia of Supersymmetry, 2004, 23  crossref
    17. Steven Duplij, Warren Siegel, Cosmas Zachos, Euro Spallucci, Władysław Marcinek, Marco De Andrade, Ion Vancea, Joachim Kupsch, Hitoshi Murakami, Steven Duplij, Lev Gendenshtein, Dimitry Leites, Concise Encyclopedia of Supersymmetry, 2004, 140  crossref
    18. Alain Connes, Bernard de Wit, Antoine Van Proeyen, Sergey Gukov, Rafael Hernandez, Pablo Mora, Anatoli Klimyk, Anatoli Klimyk, Iver Brevik, Alexander Gavrilik, Martin Schlichenmaier, Władysław Marcinek, Andrei Kelarev, Mikhail Shifman, Massimo Bianchi, Dimitry Leites, Rolf Schimmrigk, Pablo Mora, José de Azcarraga, José Izquierdo, Victor Rivelles, Stephan Narison, Masud Chaichian, Wenfeng Chen, Silvia Penati, Dimitry Leites, Concise Encyclopedia of Supersymmetry, 2004, 92  crossref
    19. D. A. Leites, “On computer-aided solving differential equations and stability study of markets”, J. Math. Sci. (N. Y.), 133:4 (2006), 1464–1476  mathnet  mathnet  crossref
    20. Leites, D, “On Einstein equations on manifolds and supermanifolds”, Journal of Nonlinear Mathematical Physics, 9:4 (2002), 394  crossref  mathscinet  zmath  adsnasa  isi  scopus
    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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