Isomorphism of Lie algebras $\mathfrak{g}\simeq \mathfrak{X}^v(P)$? Posted by PtF, at math.stackexchange.com, 16 Dec 2015 Let $\pi:P\longrightarrow M$ be a $G$-principal bundle. For $p\in P$, $V_p$ denotes the space of tangent vertical vectors, that…