Two different Lie groups can have the same Lie algebra
= Two different Lie groups can have the same Lie algebra
The most important example is perhaps <SO(3)> and <SU(2)>, both of which have the same <Lie algebra>, but are not isomorphic.
= Two different Lie groups can have the same Lie algebra
The most important example is perhaps <SO(3)> and <SU(2)>, both of which have the same <Lie algebra>, but are not isomorphic.