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Fundamentalnaya i Prikladnaya Matematika, 2003, Volume 9, Issue 3, Pages 125–131 (Mi fpm738)  

This article is cited in 1 scientific paper (total in 1 paper)

The central closure of the simple “strange” Lie superalgebras extended over a commutative algebra

A. V. Mikhaleva, I. A. Pinchukb

a M. V. Lomonosov Moscow State University
b Moscow State Region University
Full-text PDF (104 kB) Citations (1)
References:
Abstract: In this work we study central extensions of Lie superalgebras $g(A)$, where $g=P(n-1)$ are simple Lie superalgebras from one of the so-called “strange” series. We show that universal central extensions of these Lie superalgebras ara trivial, i.e., they are isomorphic to the superalgebras $g(A)$.
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 135, Issue 5, Pages 3350–3354
DOI: https://doi.org/10.1007/s10958-006-0164-0
Bibliographic databases:
UDC: 512.554
Language: Russian
Citation: A. V. Mikhalev, I. A. Pinchuk, “The central closure of the simple “strange” Lie superalgebras extended over a commutative algebra”, Fundam. Prikl. Mat., 9:3 (2003), 125–131; J. Math. Sci., 135:5 (2006), 3350–3354
Citation in format AMSBIB
\Bibitem{MikPin03}
\by A.~V.~Mikhalev, I.~A.~Pinchuk
\paper The central closure of the simple ``strange'' Lie superalgebras extended over a~commutative algebra
\jour Fundam. Prikl. Mat.
\yr 2003
\vol 9
\issue 3
\pages 125--131
\mathnet{http://mi.mathnet.ru/fpm738}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2094334}
\zmath{https://zbmath.org/?q=an:1072.17010}
\transl
\jour J. Math. Sci.
\yr 2006
\vol 135
\issue 5
\pages 3350--3354
\crossref{https://doi.org/10.1007/s10958-006-0164-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744762137}
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  • https://www.mathnet.ru/eng/fpm738
  • https://www.mathnet.ru/eng/fpm/v9/i3/p125
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Abstract page:300
    Full-text PDF :121
    References:41
    First page:1
     
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