scholarly journals Poisson–Lie groupoids and the contraction procedure

2015 ◽  
Vol 106 ◽  
pp. 35-46
Author(s):  
Kenny De Commer
Keyword(s):  
Lie Groupoids ◽  
Contraction Procedure

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 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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