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.
Deformations of Lie brackets and representations up to homotopy
Arias Abad, C; Schätz, F (2011). Deformations of Lie brackets and representations up to homotopy. Indagationes Mathematicae, 22(1-2):27-54.
Additional indexing
| Item Type: | Journal Article, refereed, original work |
|---|---|
| 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: | 19 Jan 2025 04:32 |
| 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 |
Permanent URL
https://doi.org/10.5167/uzh-58215
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Arias Abad, C