Geodesic
The Exceptional Lie Algebra g2 is Generated by Three Generators Subject to Quadruple Relations
Journal of Lie theory, Tome 33 (2023) no. 4, pp. 1005-1008
Cet article a éte moissonné depuis la source Heldermann Verlag

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In this short communication we show how the Lie algebra g2 can easily be described as a free Lie algebra on 3 generators, subject to some simple quadruple relations for these generators.
Classification : 17B25, 17B01
Mots-clés : Lie algebra of G2, generators and relations 
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     author = {N. I. Stoilova and J. Van der Jeugt},
     title = {The {Exceptional} {Lie} {Algebra} g\protect\textsubscript{2} is {Generated} by {Three} {Generators} {Subject} to {Quadruple} {Relations}},
     journal = {Journal of Lie theory},
     pages = {1005--1008},
     year = {2023},
     volume = {33},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2023_33_4_JLT_2023_33_4_a2/}
}
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N. I. Stoilova; J. Van der Jeugt. The Exceptional Lie Algebra g2 is Generated by Three Generators Subject to Quadruple Relations. Journal of Lie theory, Tome 33 (2023) no. 4, pp. 1005-1008. http://geodesic.mathdoc.fr/item/JLT_2023_33_4_JLT_2023_33_4_a2/