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Mathematics of the USSR-Sbornik, 1990, Volume 66, Issue 1, Pages 169–187
DOI: https://doi.org/10.1070/SM1990v066n01ABEH001313 (Mi sm1603) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Deformations of the Lie algebras $W_n(\mathbf m)$

A. S. Dzhumadil'daev
English version PDF (956 kB) Citations (8)
References:
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DOI: https://doi.org/10.1070/SM1990v066n01ABEH001313
Abstract: In this paper the Gerstenhaber deformations of a general Lie algebra of Cartan type $W_n(\mathbf m)$ are computed. In particular, it is shown that $W_n(\mathbf m)$ is rigid over a perfect field. The Albert–Frank algebra is generalized to the case of several variables, and a criterion for such an algebra to be simple is obtained.
Bibliography: 13 titles.
Received: 27.01.1988
Russian version:
Matematicheskii Sbornik, 1989, Volume 180, Number 2, Pages 168–186
Bibliographic databases:
UDC: 512.664.3
MSC: Primary 17B70, 17B40; Secondary 17B50, 17D25
Language: English
Original paper language: Russian
Citation: A. S. Dzhumadil'daev, “Deformations of the Lie algebras $W_n(\mathbf m)$”, Mat. Sb., 180:2 (1989), 168–186; Math. USSR-Sb., 66:1 (1990), 169–187
Citation in format AMSBIB
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\paper Deformations of the Lie algebras $W_n(\mathbf m)$
\jour Mat. Sb.
\yr 1989
\vol 180
\issue 2
\pages 168--186
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\zmath{https://zbmath.org/?q=an:0691.17009}
\transl
\jour Math. USSR-Sb.
\yr 1990
\vol 66
\issue 1
\pages 169--187
\crossref{https://doi.org/10.1070/SM1990v066n01ABEH001313}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990DK06800009}
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  • https://doi.org/10.1070/SM1990v066n01ABEH001313
  • https://www.mathnet.ru/eng/sm/v180/i2/p168
    • This publication is cited in the following 8 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
    Statistics & downloads:
    Abstract page:353
    Russian version PDF:123
    English version PDF:24
    References:59
    First page:2
     
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