Reference : Deformations of Lie brackets and representations up to homotopy

	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/22559

Title :	Deformations of Lie brackets and representations up to homotopy
Language :	English
Author, co-author :	Arias Abad, Camilo [Universidad Nacional de Colombia en Medellín (Colombia) > Escuela de Matemáticas > > Profesor Asistente]
	Schatz, Florian [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2011
Journal title :	Indagationes Mathematicae
Publisher :	Elsevier
Volume :	22
Pages :	27-54
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	0019-3577
e-ISSN :	1872-6100
City :	Amsterdam
Country :	The Netherlands
Keywords :	[en] Lie algebroids ; van Est isomorphism ; deformation theory
Abstract :	[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.
Research centres :	Center for Mathematical Analysis, Geometry and Dynamical Systems, IST Lisbon (Lisbon, Portugal)
Funders :	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
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/22559
DOI :	10.1016/j.indag.2011.07.003
Other URL :	http://www.sciencedirect.com/science/article/pii/S0019357711000322
Mentions required by the publisher for OA :	The original publication is available at http://www.sciencedirect.com/science/article/pii/S0019357711000322

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