Journal of Lie Theory 33 (2023), No. 4, 1005--1008
Copyright Heldermann Verlag 2023
The Exceptional Lie Algebra g2 is Generated by Three Generators Subject to Quadruple Relations
Nedialka I. Stoilova
Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences,, Sofia, Bulgaria
stoilova@inrne.bas.bg
Joris Van der Jeugt
Department of Applied Mathematics, Computer Science and Statistics, Ghent University, Gent, Belgium, Belgium
joris.vanderjeugt@ugent.be
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.
Keywords: Lie algebra of G2, generators and relations.
MSC: 17B25, 17B01.
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