I'm trying to work out that [itex]d^{2}=0[/itex] for any form, by applying it to a vierbein field [itex]e^{a}_{μ}[/itex], so for the first exterior derivative I get [itex](de)_{μ\nu}=∂_{μ}e_{\nu}-∂_{\nu}e_{μ}[/itex] (ignoring the differentials for now). Now here is where I get stuck. When you apply d again to this, I have no idea which indices to switch around, or moreover, what it even looks like. Could anyone help me on this?(adsbygoogle = window.adsbygoogle || []).push({});

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# Exterior derivative problem

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