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Article (Scientific journals)
Deformations of Lie brackets and representations up to homotopy
Arias Abad, Camilo; Schatz, Florian
2011 • In Indagationes Mathematicae, 22, p. 27-54
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https://hdl.handle.net/10993/22559
DOI
10.1016/j.indag.2011.07.003
 

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Keywords :
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 center :
Center for Mathematical Analysis, Geometry and Dynamical Systems, IST Lisbon (Lisbon, Portugal)
Disciplines :
Mathematics
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
External co-authors :
yes
Language :
English
Title :
Deformations of Lie brackets and representations up to homotopy
Publication date :
2011
Journal title :
Indagationes Mathematicae
ISSN :
1872-6100
Publisher :
Elsevier, Amsterdam, Netherlands
Volume :
22
Pages :
27-54
Peer reviewed :
Peer Reviewed verified by ORBi
Additional URL :
http://www.sciencedirect.com/science/article/pii/S0019357711000322
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
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since 25 November 2015

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