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Sbornik: Mathematics, 2014, Volume 205, Issue 5, Pages 633–645
DOI: https://doi.org/10.1070/SM2014v205n05ABEH004391 (Mi sm8280) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the frames of spaces of finite-dimensional Lie algebras of dimension at most 6

V. V. Gorbatsevich

Moscow State Aviation Technological University, Moscow
English version PDF (422 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2014v205n05ABEH004391
Abstract: In this paper, the frames of spaces of complex $n$-dimensional Lie algebras (that is, the intersections of all irreducible components of these spaces) are studied. A complete description of the frames and their projectivizations for $n\le 6$ is given. It is also proved that for $n\le 6$ the projectivizations of these spaces are simply connected.
Bibliography: 7 titles.
Keywords: Lie algebra, irreducible component, nilpotent Lie algebra, contraction.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00465a
Received: 26.08.2013 and 25.09.2013
Russian version:
Matematicheskii Sbornik, 2014, Volume 205, Number 5, Pages 23–36
DOI: https://doi.org/10.4213/sm8280
Bibliographic databases:
Document Type: Article
UDC: 512.554.3
MSC: Primary 17B05; Secondary 17B30, 17B40
Language: English
Original paper language: Russian
Citation: V. V. Gorbatsevich, “On the frames of spaces of finite-dimensional Lie algebras of dimension at most 6”, Mat. Sb., 205:5 (2014), 23–36; Sb. Math., 205:5 (2014), 633–645
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:328
    Russian version PDF:174
    English version PDF:12
    References:28
    First page:12
     
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