sl2 Lie algebra
= sl2 Lie algebra
{c}
{title2=$\mathfrak{sl}_2$}
The Lie algebra $\mathfrak{sl}_2$ has generators $e,h,f$ with $[h,e]=2e$, $[h,f]=-2f$, and $[e,f]=h$.
This is the $n=2$ instance of the <special linear Lie algebra>. Classifying its modules is a separate representation-theory problem.