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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMar 20th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded publication data for these two items: * [[Rui Loja Fernandes]], [[Marius Crainic]], *Integrability of Lie brackets*, Ann. of Math. **157** 2 (2003) 575-620 &lbrack;[arXiv:math.DG/0105033](http://arxiv.org/abs/math.DG/0105033), [doi:10.4007/annals.2003.157.575](https://doi.org/10.4007/annals.2003.157.575)&rbrack; * [[Rui Loja Fernandes]], [[Marius Crainic]], *Lectures on Integrability of Lie Brackets*, Geometry & Topology Monographs **17** (2011) 1–107 &lbrack;[arxiv:math.DG/0611259](https://arxiv.org/abs/math/0611259), [doi:10.2140/gtm.2011.17.1](http://dx.doi.org/10.2140/gtm.2011.17.1)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Lie%27s+three+theorems/27">diff</a>, <a href="https://ncatlab.org/nlab/revision/Lie%27s+three+theorems/27">v27</a>, <a href="https://ncatlab.org/nlab/show/Lie%27s+three+theorems">current</a>

   added publication data for these two items:

   • Rui Loja Fernandes, Marius Crainic, Integrability of Lie brackets, Ann. of Math. 157 2 (2003) 575-620 [arXiv:math.DG/0105033, doi:10.4007/annals.2003.157.575]

   • Rui Loja Fernandes, Marius Crainic, Lectures on Integrability of Lie Brackets, Geometry & Topology Monographs 17 (2011) 1–107 [arxiv:math.DG/0611259, doi:10.2140/gtm.2011.17.1]

   diff, v27, current

2. • CommentRowNumber2.
   • CommentAuthorDmitri Pavlov
   • CommentTimeMar 20th 2023
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexAdded (and I think the "Motivation" section that follows References can now be deleted): Enlarging [[Lie groupoids]] to groupoids in the category of [[etale stacks]] and smooth maps results in a Cartan–Lie theorem for [[Lie algebroids]]: * [[Hsian-Hua Tseng]], [[Chenchang Zhu]], _Integrating Lie algebroids via stacks_, Compositio Mathematica 142 (2006) 251–270, [doi:10.1112/S0010437X05001752](https://doi.org/10.1112/S0010437X05001752). In particular, a [[Lie algebroid]] can be integrated to an ordinary [[Lie groupoid]] if and only if the integrating groupoid in [[etale stacks]] is representable. <a href="https://ncatlab.org/nlab/revision/diff/Lie%27s+three+theorems/28">diff</a>, <a href="https://ncatlab.org/nlab/revision/Lie%27s+three+theorems/28">v28</a>, <a href="https://ncatlab.org/nlab/show/Lie%27s+three+theorems">current</a>

   Added (and I think the “Motivation” section that follows References can now be deleted):

   Enlarging Lie groupoids to groupoids in the category of etale stacks and smooth maps results in a Cartan–Lie theorem for Lie algebroids:

   • Hsian-Hua Tseng, Chenchang Zhu, Integrating Lie algebroids via stacks, Compositio Mathematica 142 (2006) 251–270, doi:10.1112/S0010437X05001752.

   In particular, a Lie algebroid can be integrated to an ordinary Lie groupoid if and only if the integrating groupoid in etale stacks is representable.

   diff, v28, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMar 20th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexright. I have removed that funny "Motivation section" --- and also the "References"-section (moving the single item it contained to inside the text where it belongs) since the whole entry is currently mainly a commented reference list. Finally I moved the Tseng & Zhu reference to After Crainig & Fernandes, for better logic. <a href="https://ncatlab.org/nlab/revision/diff/Lie%27s+three+theorems/29">diff</a>, <a href="https://ncatlab.org/nlab/revision/Lie%27s+three+theorems/29">v29</a>, <a href="https://ncatlab.org/nlab/show/Lie%27s+three+theorems">current</a>

   right. I have removed that funny “Motivation section” — and also the “References”-section (moving the single item it contained to inside the text where it belongs) since the whole entry is currently mainly a commented reference list.

   Finally I moved the Tseng & Zhu reference to After Crainig & Fernandes, for better logic.

   diff, v29, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeSep 17th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Christopher L. Rogers]], [[Jesse Wolfson]]: *Lie's Third Theorem for Lie $\infty$-Algebras* &lbrack;[arXiv:2409.08957](https://arxiv.org/abs/2409.08957)&rbrack; (here and at *[[Lie integration]]*) <a href="https://ncatlab.org/nlab/revision/diff/Lie%27s+three+theorems/32">diff</a>, <a href="https://ncatlab.org/nlab/revision/Lie%27s+three+theorems/32">v32</a>, <a href="https://ncatlab.org/nlab/show/Lie%27s+three+theorems">current</a>

   added pointer to:

   • Christopher L. Rogers, Jesse Wolfson: Lie’s Third Theorem for Lie $\infty$-Algebras [arXiv:2409.08957]

   (here and at Lie integration)

   diff, v32, current

5. • CommentRowNumber5.
   • CommentAuthorHurkyl
   • CommentTimeSep 18th 2024
   • PermaLink
   Author: Hurkyl
   Format: MarkdownItexTypo fix in leading diagram. <a href="https://ncatlab.org/nlab/revision/diff/Lie%27s+three+theorems/33">diff</a>, <a href="https://ncatlab.org/nlab/revision/Lie%27s+three+theorems/33">v33</a>, <a href="https://ncatlab.org/nlab/show/Lie%27s+three+theorems">current</a>

   Typo fix in leading diagram.

   diff, v33, current