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At Lie-Rinehart pair in Revision 8 somebody added the words
CAUTION: Elsewhere in the literature, it is : a Lie algebra morphism from $\mathfrak{g} \to Der(A)$
I don’t understand what this addition is good for. That homomorphism is stated precisely this way just three lines above.
Therefore I am removing that addition now. But please let me know if I am missing something.
The first question one would want to check is whether either definition reduces — in the case where the base ring is $C^\infty(X)$ — to the ordinary homomorphisms of Lie algebroids (under the equivalence between such LR-pairs and Lie algebroids over $X$)?
(That said, I have not had the leisure to look closely at the articles, and may not find the time.)
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