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added another article with the same proof (but more readable as PDF, not HTML)
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edit approved Feb 20, 2017 at 20:51
evgeny
edit approved Feb 20, 2017 at 20:51
evgeny
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Now there is a rather simple proof of III Lie theorem using the momentum map. It is in

Gijs M. Tuynman. An elementary proof of Lie’s Third Theorem. Publications de l’U.E.R. Mathematiques Pures et Appliquees, I.R.M.A. Univ. Lille 1 34 (1994), X1-X4,

see a copy in Google Cache (an original PDF seems unavailable online).

The author says in the end that almost the same proof is given in Gorbatsevich The construction of a simply connected Lie group with a given Lie algebra (here in Russian; an English version also exists).

Now there is a rather simple proof of III Lie theorem using the momentum map. It is in

Gijs M. Tuynman. An elementary proof of Lie’s Third Theorem. Publications de l’U.E.R. Mathematiques Pures et Appliquees, I.R.M.A. Univ. Lille 1 34 (1994), X1-X4,

see a copy in Google Cache (an original PDF seems unavailable online).

Now there is a rather simple proof of III Lie theorem using the momentum map. It is in

Gijs M. Tuynman. An elementary proof of Lie’s Third Theorem. Publications de l’U.E.R. Mathematiques Pures et Appliquees, I.R.M.A. Univ. Lille 1 34 (1994), X1-X4,

see a copy in Google Cache (an original PDF seems unavailable online).

The author says in the end that almost the same proof is given in Gorbatsevich The construction of a simply connected Lie group with a given Lie algebra (here in Russian; an English version also exists).

a name of the article and a link on google cache (I can not find PDF; I hope it is not because the proof is wrong and the article is deleted?)
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edit approved Feb 20, 2017 at 20:08
evgeny
edit approved Feb 20, 2017 at 20:08
evgeny
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Now there is a rather simple proof of III Lie theorem using the momentum map. It is in an article from Gijs Tuynmann, I dont have the reference at hand

Gijs M. Tuynman. An elementary proof of Lie’s Third Theorem. Publications de l’U.E.R. Mathematiques Pures et Appliquees, I.R.M.A. Univ. Lille 1 34 (1994), X1-X4,

see a copy in Google Cache (an original PDF seems unavailable online).

Now there is a rather simple proof of III Lie theorem using the momentum map. It is in an article from Gijs Tuynmann, I dont have the reference at hand.

Now there is a rather simple proof of III Lie theorem using the momentum map. It is in

Gijs M. Tuynman. An elementary proof of Lie’s Third Theorem. Publications de l’U.E.R. Mathematiques Pures et Appliquees, I.R.M.A. Univ. Lille 1 34 (1994), X1-X4,

see a copy in Google Cache (an original PDF seems unavailable online).

Source Link
Enrique Macias
Enrique Macias
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Now there is a rather simple proof of III Lie theorem using the momentum map. It is in an article from Gijs Tuynmann, I dont have the reference at hand.