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Mathematics of the USSR-Sbornik, 1990, Volume 66, Issue 1, Pages 199–209
DOI: https://doi.org/10.1070/SM1990v066n01ABEH001170
(Mi sm1605)
 

This article is cited in 3 scientific papers (total in 3 papers)

Lie superalgebras with bounded degrees of irreducible representations

Yu. A. Bahturin
References:
Abstract: A complete description is given of Lie superalgebras over uncountable fields of characteristic zero with all irreducible representations of finite bounded degree. The even component of such an algebra must be Abelian of dimension less than the cardinality of the field, whereas the odd component must contain a submodule of finite codimension with zero multiplication. This condition is also sufficient.
Bibliography: 7 titles.
Received: 22.04.1988
Bibliographic databases:
UDC: 512.554.31
MSC: Primary 17A70; Secondary 16A38
Language: English
Original paper language: Russian
Citation: Yu. A. Bahturin, “Lie superalgebras with bounded degrees of irreducible representations”, Math. USSR-Sb., 66:1 (1990), 199–209
Citation in format AMSBIB
\Bibitem{Bah89}
\by Yu.~A.~Bahturin
\paper Lie superalgebras with bounded degrees of irreducible representations
\jour Math. USSR-Sb.
\yr 1990
\vol 66
\issue 1
\pages 199--209
\mathnet{http://mi.mathnet.ru//eng/sm1605}
\crossref{https://doi.org/10.1070/SM1990v066n01ABEH001170}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=993454}
\zmath{https://zbmath.org/?q=an:0694.17017|0675.17011}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990DK06800011}
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  • https://doi.org/10.1070/SM1990v066n01ABEH001170
  • https://www.mathnet.ru/eng/sm/v180/i2/p195
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1989–1990 Sbornik: Mathematics
     
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