Geodesic
A Combinatorial Construction of G2
Journal of Lie theory, Tome 13 (2003) no. 1, pp. 155-165 Cet article a éte moissonné depuis la source Heldermann Verlag

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We show how to construct the simple exceptional Lie algebra of type  G2  by explicitly constructing its 7 dimensional representation. Technically no knowledge of Lie theory is required. The structure constants have a combinatorial meaning involving convex subsets of a partially ordered multiset of six elements. These arise from playing the Numbers and Mutation games on a certain directed multigraph. 
@article{JLT_2003_13_1_JLT_2003_13_1_a8,
     author = {N. J. Wildberger },
     title = {A {Combinatorial} {Construction} of {G\protect\textsubscript{2}}},
     journal = {Journal of Lie theory},
     pages = {155--165},
     year = {2003},
     volume = {13},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2003_13_1_JLT_2003_13_1_a8/}
}
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N. J. Wildberger . A Combinatorial Construction of G2. Journal of Lie theory, Tome 13 (2003) no. 1, pp. 155-165. http://geodesic.mathdoc.fr/item/JLT_2003_13_1_JLT_2003_13_1_a8/