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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 10, Pages 74–78 (Mi ivm8746)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Finite-dimensional simple Lie algebras with a subalgebra lattice of length 3

A. G. Gein

Chair of Algebra and Discrete Mathematics, Ural Federal University, Ekaterinburg, Russia
Full-text PDF (142 kB) Citations (2)
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Abstract: Lie algebras with a subalgebra lattice of length 2 are well-known. To study a subalgebra lattice of greater length, it is useful to get some information on Lie algebras with a subalgebra lattice of length 3. We show that a finite-dimensional simple Lie algebra over a field of characteristic 0 or a perfect field of prime characteristic greater than 5 whose subalgebra lattice has length 3 may be one of four types.
Keywords: simple Lie algebras, subalgebra lattices, minimal algebras.
Presented by the member of Editorial Board: L. N. Shevrin
Received: 24.02.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 10, Pages 62–65
DOI: https://doi.org/10.3103/S1066369X12100064
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: A. G. Gein, “Finite-dimensional simple Lie algebras with a subalgebra lattice of length 3”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 10, 74–78; Russian Math. (Iz. VUZ), 56:10 (2012), 62–65
Citation in format AMSBIB
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\by A.~G.~Gein
\paper Finite-dimensional simple Lie algebras with a~subalgebra lattice of length~3
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 10
\pages 74--78
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 10
\pages 62--65
\crossref{https://doi.org/10.3103/S1066369X12100064}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84869425697}
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    • This publication is cited in the following 2 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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