Geodesic
The Exceptional Lie Algebra g2 is Generated by Three Generators Subject to Quadruple Relations
Nedialka I. Stoilova1 ; Joris Van der Jeugt2
1Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences,, Sofia, Bulgaria
2Department of Applied Mathematics, Computer Science and Statistics, Ghent University, Gent, Belgium, Belgium
Journal of Lie Theory, Tome 33 (2023) no. 4, pp. 1005-1008

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Nedialka I. Stoilova  1   ; Joris Van der Jeugt  2

1 Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences,, Sofia, Bulgaria
2 Department of Applied Mathematics, Computer Science and Statistics, Ghent University, Gent, Belgium, Belgium 
Nedialka I. Stoilova; Joris 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/JOLT_2023_33_4_a2/
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     author = {Nedialka I. Stoilova and Joris 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/JOLT_2023_33_4_a2/}
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