Let G be a Lie Group and g his Lie Algebra, that is the tangent space at I have to show that the map : G x g -> TG, , (whereas
with L_h left multiplication )
is a diffeomorphism and a linear isomorphism on each fibre.
I'm really hopeless! I don't know how i can show this property's of .
Do you know some books or links, where i can read the proof? Or can you please explain it to me?