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Sbornik: Mathematics, 2000, Volume 191, Issue 3, Pages 369–379
DOI: https://doi.org/10.1070/sm2000v191n03ABEH000463 (Mi sm463) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Examples of explicit calculation of the inductive limit of a family of Lie algebras

R. S. Ismagilov

N. E. Bauman Moscow State Technical University
English version PDF (174 kB) Citations (3)
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DOI: https://doi.org/10.1070/sm2000v191n03ABEH000463
Abstract: The inductive limits of some families of Lie algebras are considered. Under discussion are algebras of vector fields on a manifold that preserve a volume form or a symplectic form and have supports in coordinate neighbourhoods. The family of all commutative subalgebras of the Lie algebra of the skew-Hermitian matrices of order larger than two is studied. The explicit form of the inductive limits is indicated.
Received: 24.02.1999
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 3, Pages 53–64
DOI: https://doi.org/10.4213/sm463
Bibliographic databases:
UDC: 515.16+517.9
MSC: Primary 17B55; Secondary 17B65, 17B66, 16S10
Language: English
Original paper language: Russian
Citation: R. S. Ismagilov, “Examples of explicit calculation of the inductive limit of a family of Lie algebras”, Mat. Sb., 191:3 (2000), 53–64; Sb. Math., 191:3 (2000), 369–379
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:194
    English version PDF:12
    References:47
    First page:3
     
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