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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 10, Pages 3–17 (Mi ivm7135)  
This article is cited in 1 scientific paper (total in 1 paper)

Classification of approximate Lie algebras with three essential vectors

R. K. Gazizov, V. O. Lukashchuk

High Performance Computing Chair, Ufa State Aviation Technical University, Ufa, Russia
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Abstract: We propose an algorithm for classifying approximate Lie algebras whose bases are defined by essential vectors. We give a classification of Lie algebras with three essential vectors.
Keywords: Lie algebra, isomorphism of Lie algebras, transformations of basic vectors, essential vectors.
Received: 21.01.2009
Revised: 03.06.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 10, Pages 1–14
DOI: https://doi.org/10.3103/S1066369X10100014
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: R. K. Gazizov, V. O. Lukashchuk, “Classification of approximate Lie algebras with three essential vectors”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 10, 3–17; Russian Math. (Iz. VUZ), 54:10 (2010), 1–14
Citation in format AMSBIB
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\by R.~K.~Gazizov, V.~O.~Lukashchuk
\paper Classification of approximate Lie algebras with three essential vectors
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 10
\pages 3--17
\mathnet{http://mi.mathnet.ru/ivm7135}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2808737}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 10
\pages 1--14
\crossref{https://doi.org/10.3103/S1066369X10100014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649582901}
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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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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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