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

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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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     author = {Servedio, Frank J.},
     title = {Principal {Irreducible} {Lie-Algebra} {Modules}},
     journal = {Canadian mathematical bulletin},
     pages = {483--489},
     year = {1978},
     volume = {21},
     number = {4},
     doi = {10.4153/CMB-1978-082-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-082-0/}
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