5.2 Lie Algebra

The Lie algebra $\mathrm{\mathfrak{sim}}(2)$ has four generators:

$$G_{1}=\left(\begin{array}{cc\vert c} 0 & 0 & 1\\ 0 & 0 & 0\\ \hli... ...{array}{cc\vert c} 0 & 0 & 0\\ 0 & 0 & 0\\ \hline 0 & 0 & -1 \end{array}\right)$$ (58)