scholarly journals Cartan Connections on Lie Groupoids and their Integrability

2016 ◽  
Author(s):  
Anthony D. Blaom
Keyword(s):  
Lie Groupoids ◽  
Cartan Connections

Introduction to Foliations and Lie Groupoids

2003 ◽  
Author(s):  
I. Moerdijk ◽  
J. Mrcun
Keyword(s):  
Lie Groupoids

scholarly journals Lie groupoids as generalized atlases

2004 ◽  
Vol 2 (5) ◽  
pp. 624-662 ◽  
Author(s):  
Jean Pradines
Keyword(s):  
Lie Groupoids

scholarly journals On the existence of global bisections of Lie groupoids

2009 ◽  
Vol 25 (6) ◽  
pp. 1001-1014 ◽  
Author(s):  
De Shou Zhong ◽  
Zhuo Chen ◽  
Zhang Ju Liu
Keyword(s):  
Lie Groupoids

scholarly journals Book review: General theory of Lie groupoids and Lie algebroids, by Kirill C. H. Mackenzie

2021 ◽  
Vol 13 (3) ◽  
pp. 277
Author(s):  
Theodore Voronov
Keyword(s):  
General Theory ◽  
Lie Algebroids ◽  
Lie Groupoids

scholarly journals Lie groupoids, pseudodifferential calculus, and index theory

2019 ◽  
pp. 245-289
Author(s):  
Claire Debord ◽  
Georges Skandalis
Keyword(s):  
Index Theory ◽  
Lie Groupoids ◽  
Pseudodifferential Calculus

scholarly journals Linearization problems for Lie algebroids and Lie groupoids

2000 ◽  
pp. 333-341
Author(s):  
Alan Weinstein
Keyword(s):  
Lie Algebroids ◽  
Lie Groupoids

scholarly journals Equivariant quantizations and Cartan connections

2007 ◽  
Vol 13 (5) ◽  
pp. 857-874
Author(s):  
P. Mathonet
Keyword(s):  
Cartan Connections

scholarly journals On local integration of Lie brackets

2020 ◽  
Vol 2020 (760) ◽  
pp. 267-293 ◽  
Author(s):  
Alejandro Cabrera ◽  
Ioan Mărcuţ ◽  
María Amelia Salazar
Keyword(s):  
Vector Field ◽  
Lie Algebroids ◽  
Lie Algebroid ◽  
Lie Theory ◽  
Lie Groupoids ◽  
Lie Groupoid ◽  
Finite Dimensional ◽  
Local Integration ◽  
Lie Brackets ◽  
Complete Account

AbstractWe give a direct, explicit and self-contained construction of a local Lie groupoid integrating a given Lie algebroid which only depends on the choice of a spray vector field lifting the underlying anchor map. This construction leads to a complete account of local Lie theory and, in particular, to a finite-dimensional proof of the fact that the category of germs of local Lie groupoids is equivalent to that of Lie algebroids.

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