Reference : Deformations of Lie brackets and representations up to homotopy
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/22559
Deformations of Lie brackets and representations up to homotopy
English
Arias Abad, Camilo [Universidad Nacional de Colombia en Medellín (Colombia) > Escuela de Matemáticas > > Profesor Asistente]
Schatz, Florian mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2011
Indagationes Mathematicae
Elsevier
22
27-54
Yes (verified by ORBilu)
International
0019-3577
1872-6100
Amsterdam
The Netherlands
[en] Lie algebroids ; van Est isomorphism ; deformation theory
[en] We show that representations up to homotopy can be differentiated in a functorial way. A van Est type isomorphism theorem is established and used to prove a conjecture of Crainic and Moerdijk on deformations of Lie brackets.
Center for Mathematical Analysis, Geometry and Dynamical Systems, IST Lisbon (Lisbon, Portugal)
Swiss National Science Foundation (SNF-grants 20-113439 and 20-121640) ; Center for Mathematical Analysis, Geometry and Dynamical Systems, IST Lisbon (Lisbon, Portugal) ; FCT/POCTI/FEDER through project PTDC/MAT/098936/2008
Researchers
http://hdl.handle.net/10993/22559
10.1016/j.indag.2011.07.003
http://www.sciencedirect.com/science/article/pii/S0019357711000322
The original publication is available at http://www.sciencedirect.com/science/article/pii/S0019357711000322

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