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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 2, Pages 143–157 (Mi fpm940)  
This article is cited in 5 scientific papers (total in 5 papers)

On the dimensions of commutative subalgebras and subgroups

M. V. Milentyeva

M. V. Lomonosov Moscow State University
Full-text PDF (184 kB) Citations (5)
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Abstract: We consider the functions that bound the dimensions of finite-dimensional associative or Lie algebras in terms of the dimensions of their commutative subalgebras. It is proved that these functions have quadratic growth. As a result, we get similar estimates for the dimension of a Lie group with bounded dimensions of its Abelian Lie subgroups.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 149, Issue 2, Pages 1135–1145
DOI: https://doi.org/10.1007/s10958-008-0052-x
Bibliographic databases:
UDC: 512.812.4+512.552
Language: Russian
Citation: M. V. Milentyeva, “On the dimensions of commutative subalgebras and subgroups”, Fundam. Prikl. Mat., 12:2 (2006), 143–157; J. Math. Sci., 149:2 (2008), 1135–1145
Citation in format AMSBIB
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\by M.~V.~Milentyeva
\paper On the dimensions of commutative subalgebras and subgroups
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 2
\pages 143--157
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2249698}
\zmath{https://zbmath.org/?q=an:1158.16013}
\elib{https://elibrary.ru/item.asp?id=9307282}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 149
\issue 2
\pages 1135--1145
\crossref{https://doi.org/10.1007/s10958-008-0052-x}
\elib{https://elibrary.ru/item.asp?id=14607565}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38549134911}
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  • https://www.mathnet.ru/eng/fpm/v12/i2/p143
    • This publication is cited in the following 5 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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    References:57
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