sl2R Lie algebra (source code)

= sl2R Lie algebra
{title2=$\mathfrak{sl}(2,\mathbb R)$}

The real traceless two-by-two <matrices> form a three-dimensional <Lie algebra>. A basis adapted to <conformal mechanics> obeys $\{D,E\}=-E$, $\{D,K\}=K$, $\{E,K\}=2D$.