A Note on the Affine Subspaces of Three-Dimensional Lie Algebras
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BIGGS, Rory, REMSING, Claudiu C.. A Note on the Affine Subspaces of Three-Dimensional Lie Algebras. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, nr. 3(70), pp. 45-52. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(70) / 2012 / ISSN 1024-7696 /ISSNe 2587-4322

A Note on the Affine Subspaces of Three-Dimensional Lie Algebras

Pag. 45-52

Biggs Rory, Remsing Claudiu C.
 
 
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

A classification of full-rank a±ne 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

Cuvinte-cheie
Affine subspace, the Bianchi-Behr classiffication,

Lie algebra