Geodesic
Minimal Matrix Representations of Four-Dimensional Lie Algebras
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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It is known how to find minimal dimension matrix representations for four-dimensional complex Lie algebras. The method depends on constructing left symmetric structures. In this note it is explained how to obtain the representations directly and also how to extend the results to real Lie algebras. Two different bases for the four-dimensional Lie algebras are related to each other.
Classification : 22E60, 17B30, 22E27, 22E25 
@article{BMMS_2013_36_2_a8,
     author = {R. Ghanam and G. Thompson},
     title = {Minimal {Matrix} {Representations} of {Four-Dimensional} {Lie} {Algebras}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a8/}
}
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R. Ghanam; G. Thompson. Minimal Matrix Representations of Four-Dimensional Lie Algebras. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a8/