Exponential map of a Lie group (source code)

= Exponential map of a Lie group
{c}
{title2=$\exp:\mathfrak g\to G$}
{wiki=Exponential_map_(Lie_theory)}

For a matrix Lie group, the exponential map is the matrix exponential $\exp X=\sum_{n\geq0}X^n/n!$ and sends one-parameter additive subgroups of the Lie algebra to one-parameter subgroups of the group.