dc.contributor.author | Rahm, Ludwig | |
dc.date.accessioned | 2023-01-25T11:06:45Z | |
dc.date.available | 2023-01-25T11:06:45Z | |
dc.date.created | 2022-05-01T13:44:51Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Forum of Mathematics, Sigma. 2022, 10 . | en_US |
dc.identifier.issn | 2050-5094 | |
dc.identifier.uri | https://hdl.handle.net/11250/3046224 | |
dc.description.abstract | The paper follows an operadic approach to provide a bialgebraic description of substitution for Lie–Butcher series. We first show how the well-known bialgebraic description for substitution in Butcher’s B-series can be obtained from the pre-Lie operad. We then apply the same construction to the post-Lie operad to arrive at a bialgebra Q . By considering a module over the post-Lie operad, we get a cointeraction between Q and the Hopf algebra HN that describes composition for Lie–Butcher series. We use this coaction to describe substitution for Lie–Butcher series. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Cambridge University Press | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | An operadic approach to substitution in Lie-Butcher series | en_US |
dc.title.alternative | An operadic approach to substitution in Lie-Butcher series | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 0 | en_US |
dc.source.volume | 10 | en_US |
dc.source.journal | Forum of Mathematics, Sigma | en_US |
dc.identifier.doi | 10.1017/fms.2022.12 | |
dc.identifier.cristin | 2020408 | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |