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Results tagged with lie-groups
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user 85641
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
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Does Maurer-Cartan form define surjection from Lie Group to Algebra-valued forms?
Let $G$ be a connected Lie Group of dimesion $m<\infty$ and let $g\in G$. The Maurer-Cartan form allows us to define a map from $G$ to the space of $\mathfrak{g}$-valued forms, via
$$g\rightarrow g^{ …
- 99