Left-Invariant Vector Fields
To recapitulate, a Lie group is a differentiable manifold with a group structure in which the multiplication and inversion maps G × G ⟶ G and G ⟶ G are smooth. A homomorphism of Lie groups is a group homomorphism that is also a smooth map.
KeywordsVector Field Group Structure Smooth Manifold Group Homomorphism Real Vector Space
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