Lie group isomorphism
= Lie group isomorphism
{c}
An isomorphism of <Lie groups> is a <group isomorphism> that is also a <diffeomorphism>. Both the <homomorphism> and its inverse preserve the smooth structures. Its identity differential is a <Lie algebra isomorphism>, but an isomorphism of <Lie algebras> determines a global <Lie group isomorphism> without extra period data only for connected <simply connected> <groups>.