Cayley transform (Lie theory) (source code)

= Cayley transform
{disambiguate=Lie theory}
{c}
{title2=$C(X)=(I+X)(I-X)^{-1}$}
{wiki}

The Cayley transform is a rational local parametrization of a matrix Lie group from its Lie algebra wherever $I-X$ is invertible. Unlike the exponential map, its image can meet nonidentity components.