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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, Number 3, Pages 45–52 (Mi basm326)  
This article is cited in 2 scientific papers (total in 2 papers)

A note on the affine subspaces of three-dimensional Lie algebras

Rory Biggs, Claudiu C. Remsing

Dept. of Mathematics (Pure and Applied), Rhodes University, PO Box 94, 6140, Grahamstown, South Africa
Full-text PDF (187 kB) Citations (2)
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Abstract: A classification of full-rank affine subspaces of (real) three-dimensional Lie algebras is presented. In the context of invariant control affine systems, this is exactly a classification of all full-rank systems evolving on three-dimensional Lie groups.
Keywords and phrases: affine subspace, Lie algebra, the Bianchi–Behr classification, left-invariant control system, detached feedback equivalence.
Received: 02.04.2012
Bibliographic databases:
Document Type: Article
MSC: 17B20, 17B30, 93A10, 93B27
Language: English
Citation: Rory Biggs, Claudiu C. Remsing, “A note on the affine subspaces of three-dimensional Lie algebras”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 3, 45–52
Citation in format AMSBIB
\Bibitem{BigRem12}
\by Rory~Biggs, Claudiu~C.~Remsing
\paper A note on the affine subspaces of three-dimensional Lie algebras
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2012
\issue 3
\pages 45--52
\mathnet{http://mi.mathnet.ru/basm326}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3155842}
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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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