Killing form of the special linear Lie algebra (source code)

= Killing form of the special linear Lie algebra
{c}
{title2=$\kappa(X,Y)=2n\operatorname{tr}(XY)$}

For $\mathfrak{sl}_n(\mathbb C)$,
$$
\kappa(X,Y)=2n\operatorname{tr}(XY).
$$