Suppose we have two differential form $\omega_1$ and $\omega_2$ with Lie algebra value.
We write this two forms as $g \otimes \phi$ and $h \otimes \tau$, here $g,h$ denote the elements in lie algebra and $\phi ,\tau$ denote the differential forms.Then how to calculate $g \otimes \phi \wedge h \otimes \tau$ ?
Thank you for your answer.