Geodesic
Classification of Lie algebras with generic orbits of dimension~2 in the coadjoint representation
Sbornik. Mathematics, Tome 205 (2014) no. 1, pp. 45-62

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We provide a complete list of real Lie algebras with generic orbits of dimension 2 in the coadjoint representation. Bibliography: 20 titles.
Keywords: Lie algebra, integrable systems.
Mots-clés : Poisson bracket, coadjoint representation 
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A. Yu. Konyaev. Classification of Lie algebras with generic orbits of dimension~2 in the coadjoint representation. Sbornik. Mathematics, Tome 205 (2014) no. 1, pp. 45-62. http://geodesic.mathdoc.fr/item/SM_2014_205_1_a2/