- #1

mnb96

- 715

- 5

it is known that "Every

*regular*G-action is isomorphic to the action of G on G given by left multiplication".

Is this true also when G is a

*Lie group*?

There is an ambiguous sentence in Wikipedia that is confusing me. It says: "

*The above statements about isomorphisms for regular, free and transitive actions are no longer valid for continuous group actions."*. This sentence probably refers to the above statement about the isomorphism of regular actions and the action of G on itself, but I don't understand why it is supposed to be true for Lie group actions.