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.
Arias Abad, C; Schätz, F (2011). Deformations of Lie brackets and representations up to homotopy. Indagationes Mathematicae, 22(1-2):27-54.
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.
Item Type: | Journal Article, refereed, original work |
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Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
Dewey Decimal Classification: | 510 Mathematics |
Scopus Subject Areas: | Physical Sciences > General Mathematics |
Language: | English |
Date: | July 2011 |
Deposited On: | 17 Feb 2012 18:41 |
Last Modified: | 23 Jan 2022 20:51 |
Publisher: | Elsevier |
ISSN: | 0019-3577 (P) 1872-6100 (E) |
OA Status: | Hybrid |
Publisher DOI: | https://doi.org/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 |
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