Geodesic
A note on the affine subspaces of three-dimensional Lie algebras
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2012), pp. 45-52

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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. 
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     author = {Rory Biggs and Claudiu C. Remsing},
     title = {A note on the affine subspaces of three-dimensional {Lie} algebras},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {45--52},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
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Rory Biggs; Claudiu C. Remsing. A note on the affine subspaces of three-dimensional Lie algebras. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2012), pp. 45-52. http://geodesic.mathdoc.fr/item/BASM_2012_3_a4/