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Fundamentalnaya i Prikladnaya Matematika, 2019, Volume 22, Issue 5, Pages 209–242 (Mi fpm1849)  

This article is cited in 2 scientific papers (total in 2 papers)

Algebraic Lie algebras of bounded degree

A. Yu. Golubkov

Faculty of Informatics and Control Systems, Bauman Moscow State Technical University, Moscow, Russia
Full-text PDF (373 kB) Citations (2)
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Abstract: The paper discusses the questions of coincidence of the basic nil-radicals on classes of algebraic Lie algebras and proves the local finite-dimensionality of Lie algebras with an algebraic adjoint representation of bounded degree over fields of sufficiently large positive characteristic.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00895_а
The research was supported by RFBR, project No. 17-01-00895.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 259, Issue 4, Pages 528–551
DOI: https://doi.org/10.1007/s10958-021-05645-3
Document Type: Article
UDC: 512.554.36+512.554.7
Language: Russian
Citation: A. Yu. Golubkov, “Algebraic Lie algebras of bounded degree”, Fundam. Prikl. Mat., 22:5 (2019), 209–242; J. Math. Sci., 259:4 (2021), 528–551
Citation in format AMSBIB
\Bibitem{Gol19}
\by A.~Yu.~Golubkov
\paper Algebraic Lie algebras of bounded degree
\jour Fundam. Prikl. Mat.
\yr 2019
\vol 22
\issue 5
\pages 209--242
\mathnet{http://mi.mathnet.ru/fpm1849}
\transl
\jour J. Math. Sci.
\yr 2021
\vol 259
\issue 4
\pages 528--551
\crossref{https://doi.org/10.1007/s10958-021-05645-3}
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  • https://www.mathnet.ru/eng/fpm1849
  • https://www.mathnet.ru/eng/fpm/v22/i5/p209
  • This publication is cited in the following 2 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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    Full-text PDF :110
    References:32
     
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