Lie's third theorem

id: lie-s-third-theorem-291-5186133
title: Lie's third theorem
text: In the mathematics of Lie theory, Lie's third theorem states that every finite-dimensional Lie algebra g over the real numbers is associated to a Lie group G . The theorem is part of the Lie group–Lie algebra correspondence. Historically, the third theorem referred to a different but related result. The two preceding theorems of Sophus Lie, restated in modern language, relate to the infinitesimal transformations of a group action on a smooth manifold. The third theorem on the list stated the Jac
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original url: https://en.wikipedia.org/wiki/Lie%27s_third_theorem
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date modified: 2024-01-04T12:15:44Z
main entity: {"identifier":"Q15080987","url":"https://www.wikidata.org/entity/Q15080987"}
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