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Bibliographic Details
Main Authors: Stoilova, N. I., Van der Jeugt, J.
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2212.04131
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author Stoilova, N. I.
Van der Jeugt, J.
author_facet Stoilova, N. I.
Van der Jeugt, J.
contents In this short communication we show how the Lie algebra $\mathfrak{g}_2$ can easily be described as a free Lie algebra on 3 generators, subject to some simple quadruple relations for these generators.
format Preprint
id arxiv_https___arxiv_org_abs_2212_04131
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle The exceptional Lie algebra $\mathfrak{g}_2$ generated by three generators subject to quadruple relations
Stoilova, N. I.
Van der Jeugt, J.
Rings and Algebras
17B25, 17B01
In this short communication we show how the Lie algebra $\mathfrak{g}_2$ can easily be described as a free Lie algebra on 3 generators, subject to some simple quadruple relations for these generators.
title The exceptional Lie algebra $\mathfrak{g}_2$ generated by three generators subject to quadruple relations
topic Rings and Algebras
17B25, 17B01
url https://arxiv.org/abs/2212.04131