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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, Number 3, Pages 45–52
(Mi basm326)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/basm326 https://www.mathnet.ru/eng/basm/y2012/i3/p45
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Abstract page: | 252 | Full-text PDF : | 60 | References: | 30 | First page: | 1 |
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