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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 8, Pages 30–35 (Mi ivm7115)  
This article is cited in 1 scientific paper (total in 1 paper)

Real subalgebras in the matrix Lie algebra $M(2,\mathbf C)$

V. V. Gorbatsevich

Chair of Higher Mathematics, Russian State Technological University, Moscow, Russia
Full-text PDF (165 kB) Citations (1)
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Abstract: In this paper we classify all real subalgebras (up to the conjugation) of dimensions 5, 6, and 7 in the Lie algebra of all complex matrices of the second order. In combination with recent results by F. A. Belykh, A. Yu. Borzakov, and A. V. Loboda (Russian Mathematics (Iz. VUZ) 51 (5), 11–23 (2007)) this gives a complete classification of all subalgebras in the specified matrix Lie algebra. The description is presented in two different forms, namely, in the framework of the theory of Lie algebras and their subalgebras, on one hand, and in the matrix form, on the other hand.
Keywords: Lie algebra, complex matrices, Lie subalgebra, matrix conjugation.
Received: 12.10.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 8, Pages 24–28
DOI: https://doi.org/10.3103/S1066369X10080037
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: V. V. Gorbatsevich, “Real subalgebras in the matrix Lie algebra $M(2,\mathbf C)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 8, 30–35; Russian Math. (Iz. VUZ), 54:8 (2010), 24–28
Citation in format AMSBIB
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\paper Real subalgebras in the matrix Lie algebra~$M(2,\mathbf C)$
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 8
\pages 30--35
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 8
\pages 24--28
\crossref{https://doi.org/10.3103/S1066369X10080037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649581306}
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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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    References:39
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