dc.contributor.author | Heard, Drew Kenneth | |
dc.date.accessioned | 2021-02-25T13:24:13Z | |
dc.date.available | 2021-02-25T13:24:13Z | |
dc.date.created | 2021-01-14T10:07:18Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 0017-0895 | |
dc.identifier.uri | https://hdl.handle.net/11250/2730456 | |
dc.description.abstract | Greenlees has conjectured that the rational stable equivariant homotopy category of a compact Lie group always has an algebraic model. Based on this idea, we show that the category of rational local systems on a connected finite loop space always has a simple algebraic model. When the loop space arises from a connected compact Lie group, this recovers a special case of a result of Pol and Williamson about rational cofree G-spectra. More generally, we show that if K is a closed subgroup of a compact Lie group G such that the Weyl group WGK is connected, then a certain category of rational G-spectra “at K” has an algebraic model. For example, when K is the trivial group, this is just the category of rational cofree G-spectra, and this recovers the aforementioned result. Throughout, we pay careful attention to the role of torsion and complete categories. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Cambridge University Press | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | Rational local systems and connected finite loop spaces | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.journal | Glasgow Mathematical Journal | en_US |
dc.identifier.doi | https://doi.org/10.1017/S0017089520000658 | |
dc.identifier.cristin | 1871134 | |
dc.description.localcode | © 2020. This is the authors’ accepted and refereed manuscript to the article. Locked until 14.7.2021 due to copyright restrictions. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |