A question that occurs naturally but of which I (and, apparently, Google too) does not know an answer is the following: is the functor that associates to a lie Group its lie Algebra an exact functor? I would guess the answer is not true, and that it is only left exact. What can be said about the exactness properties of this functor?
2026-04-27 13:45:15.1777297515
Exactness of the lie algebra functor
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