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Could you please help me to understand what is the difference between notions of «transformation» and «automorphism» (maybe it is more correct to talk about «inner automorphism»), if any? It looks like those two terms are used interchangeably.
By «transformation» I mean mapping from some set into itself (transformation groups in geometry), not notions like «Laplace transform(ation)» or «Legendre transform(ation)» where, as far as I know, the term is being used for historical reasons mainly.
By «transformation» I mean mapping from some set into itself (transformation groups in geometry), not notions like «Laplace transform(ation)» or «Legendre transform(ation)» where, as far as I know, the term is being used for historical reasons mainly.