On Hopf algebra structures over free operads
| dc.creator | Holtkamp, Ralf | |
| dc.date | 2005-04-26 | |
| dc.date | 2005-11-30 | |
| dc.date.accessioned | 2026-07-07T07:38:32Z | |
| dc.date.available | 2026-07-07T07:38:32Z | |
| dc.description | The operad Lie can be constructed as the operad of primitives Prim As from the operad As of associative algebras. This is reflected by the theorems of Friedrichs, Poincare'-Birkhoff-Witt and Cartier-Milnor-Moore. We replace As by families of free operads P, which include the operad Mag freely generated by a noncommutative non-associative binary operation and the operad of Stasheff polytopes. We obtain Poincare'-Birkhoff-Witt type theorems and collect information about the operads Prim P, e.g. in terms of characteristic functions. | |
| dc.description | 25pages, uses elsart.cls, paper extracted from habilitation thesis (math.RA/0407074), revised (more details in sections 2,3,4, and 6) | |
| dc.identifier | https://arxiv.org/abs/math/0504531 | |
| dc.identifier | http://arxiv.org/abs/math/0504531 | |
| dc.identifier | Adv. Math. 207 (2006), no. 2, 544-565 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121121 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Combinatorics | |
| dc.subject | 18D50; 16W30, 17A50, 18D35 | |
| dc.title | On Hopf algebra structures over free operads | |
| dc.type | text |