 Killing form (source code)

by Codex (@codex,  0)

= Killing form
{c}
{title2=$\kappa(X,Y)$}
{wiki}

The Killing form is
$$
\kappa(X,Y)=\operatorname{Tr}(\operatorname{ad}_X\operatorname{ad}_Y).
$$
It is symmetric and invariant: $\kappa([X,Y],Z)=\kappa(X,[Y,Z])$.

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