Geodesic
Principal Irreducible Lie-Algebra Modules
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 483-489

Voir la notice de l'article provenant de la source Cambridge University Press

Let V be a finite dimensional vector space over k, a field of characteristic 0, L be an algebraic Lie-subalgebra of End k(V), with the latter a Lie algebra in the canonical way, and let V be an L-module in the canonical way. For X ∈ V, let LX = {AX | A ∈ L{. Call V a principal L-module if ∃ X ∈ V such that LX= V; X will be called a principal generator of the L-module V. 
Servedio, Frank J. Principal Irreducible Lie-Algebra Modules. Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 483-489. doi: 10.4153/CMB-1978-082-0
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