Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

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

Joris Van der Jeugt
Department of Applied Mathematics, Computer Science and Statistics, Ghent University, Gent, Belgium, Belgium

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.

[ Fulltext-pdf  (78  KB)] for subscribers only.