Relating two Hopf algebras built from an operad
| dc.creator | Chapoton, Frédéric | |
| dc.creator | Livernet, Muriel | |
| dc.date | 2007-07-25 | |
| dc.date | 2007-10-25 | |
| dc.date.accessioned | 2026-07-07T08:43:33Z | |
| dc.date.available | 2026-07-07T08:43:33Z | |
| dc.description | Starting from an operad, one can build a family of posets. From this family of posets, one can define an incidence Hopf algebra. By another construction, one can also build a group directly from the operad. We then consider its Hopf algebra of functions. We prove that there exists a surjective morphism from the latter Hopf algebra to the former one. This is illustrated by the case of an operad built on rooted trees, the $\NAP$ operad, where the incidence Hopf algebra is identified with the Connes-Kreimer Hopf algebra of rooted trees. | |
| dc.description | 21 pages, use graphics, 12 figures Version 2 : references added, minor changes. This version has not been corrected after submission. The final and corrected version will appear in IMRN and can be obtained from the authors | |
| dc.identifier | https://arxiv.org/abs/0707.3725 | |
| dc.identifier | http://arxiv.org/abs/0707.3725 | |
| dc.identifier | International Mathematics Research Notices 2007 (2007) rnm131, 27 pages | |
| dc.identifier | doi:10.1093/imrn/rnm131 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142349 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Combinatorics | |
| dc.subject | 06, 16W, 18D50 | |
| dc.title | Relating two Hopf algebras built from an operad | |
| dc.type | text |