G2 (mathematics) - Generators

Generators

Adding a representation of the 14 generators with coefficients A..N gives the matrix:

A\lambda_1+...+N\lambda_{14}= \begin{bmatrix} 0 & C &-B & E &-D &-G &-F+M \\ -C & 0 & A & F &-G+N&D-K&E+L \\ B &-A & 0 &-N & M & L & K \\ -E &-F & N & 0 &-A+H&-B+I&-C+J\\ D &G-N &-M &A-H& 0 & J &-I \\ G &K-D& -L&B-I&-J & 0 & H \\ F-M&-E-L& -K &C-J& I & -H & 0 \\ \end{bmatrix}

Read more about this topic:  G2 (mathematics)