Journal of Lie Theory Vol. 13, No. 1, pp. 155165 (2003) 

A Combinatorial Construction of $G_2$N. J. WildbergerN. J. WildbergerSchool of Mathematics UNSW Sydney 2052 Australia norman@maths.unsw.edu.au Abstract: We show how to construct the simple exceptional Lie algebra of type $G_2$ by explicitly constructing its $7$ dimensional representation. Technically no knowledge of Lie theory is required. The structure constants have a combinatorial meaning involving convex subsets of a partially ordered multiset of six elements. These arise from playing the Numbers and Mutation games on a certain directed multigraph. Full text of the article:
Electronic fulltext finalized on: 22 Nov 2002. This page was last modified: 3 Jan 2003.
© 2002 Heldermann Verlag
