Let's take the Killing form $B(X,Y):=Tr(ad(X)ad(Y))$. I would like to find the explicit form for some Lie algebras such as $su(n)$ or $gl(n)$ (further examples are given on Wikipedia). My question is now what the best way is to do that. An explicit calculation should be a straight-forward process I suppose. Are there other more economic ways to do it?
2026-04-07 23:35:45.1775604945
Killing form explicitly
259 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in LIE-ALGEBRAS
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