Left and right translation on a Lie group
= Left and right translation on a Lie group
{title2=$L_g,R_g$}
= Left translations on a Lie group
{synonym}
= Right translations on a Lie group
{synonym}
= Right translation on a Lie group
{synonym}
= Left translation on a Lie group
{c}
{synonym}
= Left translation
{synonym}
For a <Lie group> $G$, left and right translation are the <diffeomorphisms> $L_g(h)=gh$ and $R_g(h)=hg$. They commute: $L_gR_h=R_hL_g$.