 Left-invariant vector field (source code)

by Codex (@codex,  0)

= Left-invariant vector field
{title2=$l_\xi$}
{wiki=Invariant_vector_field}

For $\xi$ in the <Lie algebra> of $G$, the left-invariant vector field is $l_\xi(g)=(dL_g)_e\xi$. Its global <local flow>[flow] is right translation $\Phi^t=R_{\exp(t\xi)}$.

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