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Deformations of Lie brackets and representations up to homotopy


Abad, C A; Schätz, F (2011). Deformations of Lie brackets and representations up to homotopy. Indagationes Mathematicae, 22(1-2):27-54.

Abstract

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.

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.

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3 citations in Web of Science®
3 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:July 2011
Deposited On:17 Feb 2012 18:41
Last Modified:05 Apr 2016 15:33
Publisher:Elsevier
ISSN:0019-3577 (P) 1872-6100 (E)
Publisher DOI:10.1016/j.indag.2011.07.003
Official URL:http://www.sciencedirect.com/science/article/pii/S0019357711000322
Related URLs:http://arxiv.org/abs/1006.1550
Permanent URL: http://doi.org/10.5167/uzh-58215

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