Suppose θ is a differential 1 form defined on a manifold and with values in the Lie algebra of a Lie group,G.(adsbygoogle = window.adsbygoogle || []).push({});

On MxG define the 1 form, ad(g)θ ,where θ is extended by letting it be zero on the tangent space to G

How do you compute the exterior derivative, dad(g)θ ?

BTW: For matrix Lie groups this is straightforward. What is the abstract calculation?

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# Differentiation Problem on Lie Groups

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