The infinitesimal Hopf algebra and the operads of planar forests
| dc.creator | Foissy, Loïc | |
| dc.date | 2009-01-15 | |
| dc.date.accessioned | 2026-07-07T12:29:39Z | |
| dc.date.available | 2026-07-07T12:29:39Z | |
| dc.description | We introduce two operads which own the set of planar forests as a basis. With its usual product and two other products defined by different types of graftings, the algebra of planar rooted trees H becomes an algebra over these operads. The compatibility with the infinitesimal coproduct of H and these structures is studied. As an application, an inductive way of computing the dual basis of H for its infinitesimal pairing is given. Moreover, three Cartier-Quillen-Milnor-Moore theorems are given for the operads of planar forests and a rigidity theorem for one of them. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/0901.2202 | |
| dc.identifier | http://arxiv.org/abs/0901.2202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215947 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30, 05C05, 18D50. | |
| dc.title | The infinitesimal Hopf algebra and the operads of planar forests | |
| dc.type | text |