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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeNov 2nd 2009
• (edited Nov 2nd 2009)
• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJan 22nd 2013
• (edited Jan 22nd 2013)

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.

• CommentRowNumber3.
• CommentAuthorGuest
• CommentTimeFeb 24th 2020
In the original reference [Rinehart] it is not asked that the anchor map be a morphism of Lie algebras.

A sufficient condition for that to happen is that the annihilator A_L={a \in A : aX=0}
be trivial. See Lemma 2.2 in https://arxiv.org/abs/2002.05718

Thank you,
Francisco Kordon,
franciscokordon at uca.fr