Lie algebroid (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Lie algebroid" in English language version.

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13doi.org

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9arxiv.org

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8worldcat.org

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8semanticscholar.org

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3sciencedirect.com

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3harvard.edu

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1numdam.org

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1toronto.edu

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1elsevier.com

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1ems-ph.org

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1jhu.edu

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1uni.lu

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arxiv.org

Meinrenken, Eckhard (2021-05-08). "On the integration of transitive Lie algebroids". arXiv:2007.07120 [math.DG].
Grabowski, Janusz (2003-12-01). "Quasi-derivations and QD-algebroids". Reports on Mathematical Physics. 52 (3): 445–451. arXiv:math/0301234. Bibcode:2003RpMP...52..445G. doi:10.1016/S0034-4877(03)80041-1. ISSN 0034-4877. S2CID 119580956.
Evens, S; Lu, J-H; Weinstein, A (1999-12-01). "Transverse measures, the modular class and a cohomology pairing for Lie algebroids". The Quarterly Journal of Mathematics. 50 (200): 417–436. arXiv:dg-ga/9610008. doi:10.1093/qjmath/50.200.417. ISSN 0033-5606.
Crainic, Marius (2003-12-31). "Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes". Commentarii Mathematici Helvetici. 78 (4): 681–721. arXiv:math/0008064. doi:10.1007/s00014-001-0766-9. ISSN 0010-2571. S2CID 6392715.
Moerdijk, Ieke; Mrcun, Janez (2002). "On integrability of infinitesimal actions" (PDF). American Journal of Mathematics. 124 (3): 567–593. arXiv:math/0006042. doi:10.1353/ajm.2002.0019. ISSN 1080-6377. S2CID 53622428.
Mackenzie, Kirill; Xu, Ping (2000-05-01). "Integration of Lie bialgebroids". Topology. 39 (3): 445–467. arXiv:dg-ga/9712012. doi:10.1016/S0040-9383(98)00069-X. ISSN 0040-9383. S2CID 119594174.
Crainic, Marius; Fernandes, Rui L. (2003). "Integrability of Lie brackets". Ann. of Math. 2. 157 (2): 575–620. arXiv:math/0105033. doi:10.4007/annals.2003.157.575. S2CID 6992408.
Hsian-Hua Tseng; Chenchang Zhu (2006). "Integrating Lie algebroids via stacks". Compositio Mathematica. 142 (1): 251–270. arXiv:math/0405003. doi:10.1112/S0010437X05001752. S2CID 119572919.
Chenchang Zhu (2006). "Lie II theorem for Lie algebroids via stacky Lie groupoids". arXiv:math/0701024.

bnf.fr

gallica.bnf.fr

Pradines, Jean (1967). "Théorie de Lie pour les groupoïdes dif́férentiables. Calcul différentiel dans la caté́gorie des groupoïdes infinitésimaux". C. R. Acad. Sci. Paris (in French). 264: 245–248.
Pradines, Jean (1968). "Troisieme théorème de Lie pour les groupoides différentiables". Comptes Rendus de l'Académie des Sciences, Série A (in French). 267: 21–23.

cambridge.org

Mackenzie, Kirill C. H. (2005). General Theory of Lie Groupoids and Lie Algebroids. London Mathematical Society Lecture Note Series. Cambridge: Cambridge University Press. doi:10.1017/cbo9781107325883. ISBN 978-0-521-49928-6.
Mackenzie, K. (1987). Lie Groupoids and Lie Algebroids in Differential Geometry. London Mathematical Society Lecture Note Series. Cambridge: Cambridge University Press. doi:10.1017/cbo9780511661839. ISBN 978-0-521-34882-9.

doi.org

Grabowski, Janusz (2003-12-01). "Quasi-derivations and QD-algebroids". Reports on Mathematical Physics. 52 (3): 445–451. arXiv:math/0301234. Bibcode:2003RpMP...52..445G. doi:10.1016/S0034-4877(03)80041-1. ISSN 0034-4877. S2CID 119580956.
Jotz Lean, M.; Ortiz, C. (2014-10-01). "Foliated groupoids and infinitesimal ideal systems". Indagationes Mathematicae. 25 (5): 1019–1053. doi:10.1016/j.indag.2014.07.009. ISSN 0019-3577. S2CID 121209093.
Mackenzie, Kirill C. H. (2005). General Theory of Lie Groupoids and Lie Algebroids. London Mathematical Society Lecture Note Series. Cambridge: Cambridge University Press. doi:10.1017/cbo9781107325883. ISBN 978-0-521-49928-6.
Evens, S; Lu, J-H; Weinstein, A (1999-12-01). "Transverse measures, the modular class and a cohomology pairing for Lie algebroids". The Quarterly Journal of Mathematics. 50 (200): 417–436. arXiv:dg-ga/9610008. doi:10.1093/qjmath/50.200.417. ISSN 0033-5606.
Weinstein, Alan (1997). "The modular automorphism group of a Poisson manifold". Journal of Geometry and Physics. 23 (3–4): 379–394. Bibcode:1997JGP....23..379W. doi:10.1016/S0393-0440(97)80011-3.
Crainic, Marius (2003-12-31). "Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes". Commentarii Mathematici Helvetici. 78 (4): 681–721. arXiv:math/0008064. doi:10.1007/s00014-001-0766-9. ISSN 0010-2571. S2CID 6392715.
Moerdijk, Ieke; Mrcun, Janez (2002). "On integrability of infinitesimal actions" (PDF). American Journal of Mathematics. 124 (3): 567–593. arXiv:math/0006042. doi:10.1353/ajm.2002.0019. ISSN 1080-6377. S2CID 53622428.
Mackenzie, Kirill; Xu, Ping (2000-05-01). "Integration of Lie bialgebroids". Topology. 39 (3): 445–467. arXiv:dg-ga/9712012. doi:10.1016/S0040-9383(98)00069-X. ISSN 0040-9383. S2CID 119594174.
Mackenzie, K. (1987). Lie Groupoids and Lie Algebroids in Differential Geometry. London Mathematical Society Lecture Note Series. Cambridge: Cambridge University Press. doi:10.1017/cbo9780511661839. ISBN 978-0-521-34882-9.
Crainic, Marius; Fernandes, Rui L. (2003). "Integrability of Lie brackets". Ann. of Math. 2. 157 (2): 575–620. arXiv:math/0105033. doi:10.4007/annals.2003.157.575. S2CID 6992408.
Hsian-Hua Tseng; Chenchang Zhu (2006). "Integrating Lie algebroids via stacks". Compositio Mathematica. 142 (1): 251–270. arXiv:math/0405003. doi:10.1112/S0010437X05001752. S2CID 119572919.
Douady, Adrien; Lazard, Michel (1966-06-01). "Espaces fibrés en algèbres de Lie et en groupes". Inventiones Mathematicae (in French). 1 (2): 133–151. Bibcode:1966InMat...1..133D. doi:10.1007/BF01389725. ISSN 1432-1297. S2CID 121480154.
Dazord, Pierre (1997-01-01). "Groupoïde d'holonomie et géométrie globale". Comptes Rendus de l'Académie des Sciences, Série I. 324 (1): 77–80. doi:10.1016/S0764-4442(97)80107-3. ISSN 0764-4442.

elsevier.com

linkinghub.elsevier.com

Weinstein, Alan (1997). "The modular automorphism group of a Poisson manifold". Journal of Geometry and Physics. 23 (3–4): 379–394. Bibcode:1997JGP....23..379W. doi:10.1016/S0393-0440(97)80011-3.

ems-ph.org

Crainic, Marius (2003-12-31). "Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes". Commentarii Mathematici Helvetici. 78 (4): 681–721. arXiv:math/0008064. doi:10.1007/s00014-001-0766-9. ISSN 0010-2571. S2CID 6392715.

harvard.edu

ui.adsabs.harvard.edu

Grabowski, Janusz (2003-12-01). "Quasi-derivations and QD-algebroids". Reports on Mathematical Physics. 52 (3): 445–451. arXiv:math/0301234. Bibcode:2003RpMP...52..445G. doi:10.1016/S0034-4877(03)80041-1. ISSN 0034-4877. S2CID 119580956.
Weinstein, Alan (1997). "The modular automorphism group of a Poisson manifold". Journal of Geometry and Physics. 23 (3–4): 379–394. Bibcode:1997JGP....23..379W. doi:10.1016/S0393-0440(97)80011-3.
Douady, Adrien; Lazard, Michel (1966-06-01). "Espaces fibrés en algèbres de Lie et en groupes". Inventiones Mathematicae (in French). 1 (2): 133–151. Bibcode:1966InMat...1..133D. doi:10.1007/BF01389725. ISSN 1432-1297. S2CID 121480154.

jhu.edu

muse.jhu.edu

Moerdijk, Ieke; Mrcun, Janez (2002). "On integrability of infinitesimal actions" (PDF). American Journal of Mathematics. 124 (3): 567–593. arXiv:math/0006042. doi:10.1353/ajm.2002.0019. ISSN 1080-6377. S2CID 53622428.

numdam.org

Kosmann-Schwarzbach, Yvette; Magri, Franco (1990). "Poisson-Nijenhuis structures". Annales de l'Institut Henri Poincaré A. 53 (1): 35–81.

sciencedirect.com

Grabowski, Janusz (2003-12-01). "Quasi-derivations and QD-algebroids". Reports on Mathematical Physics. 52 (3): 445–451. arXiv:math/0301234. Bibcode:2003RpMP...52..445G. doi:10.1016/S0034-4877(03)80041-1. ISSN 0034-4877. S2CID 119580956.
Mackenzie, Kirill; Xu, Ping (2000-05-01). "Integration of Lie bialgebroids". Topology. 39 (3): 445–467. arXiv:dg-ga/9712012. doi:10.1016/S0040-9383(98)00069-X. ISSN 0040-9383. S2CID 119594174.
Dazord, Pierre (1997-01-01). "Groupoïde d'holonomie et géométrie globale". Comptes Rendus de l'Académie des Sciences, Série I. 324 (1): 77–80. doi:10.1016/S0764-4442(97)80107-3. ISSN 0764-4442.

semanticscholar.org

api.semanticscholar.org

Grabowski, Janusz (2003-12-01). "Quasi-derivations and QD-algebroids". Reports on Mathematical Physics. 52 (3): 445–451. arXiv:math/0301234. Bibcode:2003RpMP...52..445G. doi:10.1016/S0034-4877(03)80041-1. ISSN 0034-4877. S2CID 119580956.
Jotz Lean, M.; Ortiz, C. (2014-10-01). "Foliated groupoids and infinitesimal ideal systems". Indagationes Mathematicae. 25 (5): 1019–1053. doi:10.1016/j.indag.2014.07.009. ISSN 0019-3577. S2CID 121209093.
Crainic, Marius (2003-12-31). "Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes". Commentarii Mathematici Helvetici. 78 (4): 681–721. arXiv:math/0008064. doi:10.1007/s00014-001-0766-9. ISSN 0010-2571. S2CID 6392715.
Moerdijk, Ieke; Mrcun, Janez (2002). "On integrability of infinitesimal actions" (PDF). American Journal of Mathematics. 124 (3): 567–593. arXiv:math/0006042. doi:10.1353/ajm.2002.0019. ISSN 1080-6377. S2CID 53622428.
Mackenzie, Kirill; Xu, Ping (2000-05-01). "Integration of Lie bialgebroids". Topology. 39 (3): 445–467. arXiv:dg-ga/9712012. doi:10.1016/S0040-9383(98)00069-X. ISSN 0040-9383. S2CID 119594174.
Crainic, Marius; Fernandes, Rui L. (2003). "Integrability of Lie brackets". Ann. of Math. 2. 157 (2): 575–620. arXiv:math/0105033. doi:10.4007/annals.2003.157.575. S2CID 6992408.
Hsian-Hua Tseng; Chenchang Zhu (2006). "Integrating Lie algebroids via stacks". Compositio Mathematica. 142 (1): 251–270. arXiv:math/0405003. doi:10.1112/S0010437X05001752. S2CID 119572919.
Douady, Adrien; Lazard, Michel (1966-06-01). "Espaces fibrés en algèbres de Lie et en groupes". Inventiones Mathematicae (in French). 1 (2): 133–151. Bibcode:1966InMat...1..133D. doi:10.1007/BF01389725. ISSN 1432-1297. S2CID 121480154.

toronto.edu

math.toronto.edu

Eckhard Meinrenken, Lie groupoids and Lie algebroids, Lecture notes, fall 2017

uni.lu

math.uni.lu

Ševera, Pavol (2005). "Some title containing the words "homotopy" and "symplectic", e.g. this one" (PDF). Travaux mathématiques. Proceedings of the 4th Conference on Poisson Geometry: June 7-11, 2004. 16. Luxembourg: University of Luxembourg: 121–137. ISBN 978-2-87971-253-6.

worldcat.org

search.worldcat.org

Grabowski, Janusz (2003-12-01). "Quasi-derivations and QD-algebroids". Reports on Mathematical Physics. 52 (3): 445–451. arXiv:math/0301234. Bibcode:2003RpMP...52..445G. doi:10.1016/S0034-4877(03)80041-1. ISSN 0034-4877. S2CID 119580956.
Jotz Lean, M.; Ortiz, C. (2014-10-01). "Foliated groupoids and infinitesimal ideal systems". Indagationes Mathematicae. 25 (5): 1019–1053. doi:10.1016/j.indag.2014.07.009. ISSN 0019-3577. S2CID 121209093.
Evens, S; Lu, J-H; Weinstein, A (1999-12-01). "Transverse measures, the modular class and a cohomology pairing for Lie algebroids". The Quarterly Journal of Mathematics. 50 (200): 417–436. arXiv:dg-ga/9610008. doi:10.1093/qjmath/50.200.417. ISSN 0033-5606.
Crainic, Marius (2003-12-31). "Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes". Commentarii Mathematici Helvetici. 78 (4): 681–721. arXiv:math/0008064. doi:10.1007/s00014-001-0766-9. ISSN 0010-2571. S2CID 6392715.
Moerdijk, Ieke; Mrcun, Janez (2002). "On integrability of infinitesimal actions" (PDF). American Journal of Mathematics. 124 (3): 567–593. arXiv:math/0006042. doi:10.1353/ajm.2002.0019. ISSN 1080-6377. S2CID 53622428.
Mackenzie, Kirill; Xu, Ping (2000-05-01). "Integration of Lie bialgebroids". Topology. 39 (3): 445–467. arXiv:dg-ga/9712012. doi:10.1016/S0040-9383(98)00069-X. ISSN 0040-9383. S2CID 119594174.
Douady, Adrien; Lazard, Michel (1966-06-01). "Espaces fibrés en algèbres de Lie et en groupes". Inventiones Mathematicae (in French). 1 (2): 133–151. Bibcode:1966InMat...1..133D. doi:10.1007/BF01389725. ISSN 1432-1297. S2CID 121480154.
Dazord, Pierre (1997-01-01). "Groupoïde d'holonomie et géométrie globale". Comptes Rendus de l'Académie des Sciences, Série I. 324 (1): 77–80. doi:10.1016/S0764-4442(97)80107-3. ISSN 0764-4442.