How can I proof that, given a Lie Group $G$ with Lie algebra $\mathfrak{g}$, the tangent group $TG$ is isomorphic to $\mathfrak{g} \rtimes_{Ad}G$ ?
2026-04-01 19:00:53.1775070053
The Tangent bundle of a lie group is isomorphic to a semidirect product.
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