Left and right translation on a Lie group (source code)

= Left and right translation on a Lie group
{title2=$L_g,R_g$}

For a <Lie group> $G$, left and right translation are the <diffeomorphisms> $L_g(h)=gh$ and $R_g(h)=hg$. They commute: $L_gR_h=R_hL_g$.

= Left translation on a Lie group
{synonym}