Journal of Lie Theory

no. 4
The Exceptional Lie Algebra g2 is Generated by Three Generators Subject to Quadruple Relations
Journal of Lie Theory, Volume 33 (2023) no. 4, pp. 1005-1008
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.
DOI: 10.5802/jolt.1316
Classification: 17B25, 17B01
Keywords: Lie algebra of G2, generators and relations 
@article{JOLT_2023_33_4_a2,
     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},
     doi = {10.5802/jolt.1316},
     zbl = {1544.17032},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1316/}
}
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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, Volume 33 (2023) no. 4, pp. 1005-1008. doi: 10.5802/jolt.1316

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