Une opérade anticyclique sur les arbustes
- [1] Université de Lyon ; Université Lyon 1 ; CNRS, UMR5208, Institut Camille Jordan, 43 blvd du 11 novembre 1918, F-69622 Villeurbanne-Cedex, France
Annales mathématiques Blaise Pascal (2010)
- Volume: 17, Issue: 1, page 17-45
- ISSN: 1259-1734
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topChapoton, Frédéric. "Une opérade anticyclique sur les arbustes." Annales mathématiques Blaise Pascal 17.1 (2010): 17-45. <http://eudml.org/doc/116347>.
@article{Chapoton2010,
abstract = {We define new combinatorial objects, called shrubs, such that forests of rooted trees are shrubs. We then introduce a structure of operad on shrubs. We show that this operad is contained in the Zinbiel operad, by using the inclusion of Zinbiel in the operad of moulds. We also prove that this inclusion is compatible with the richer structure of anticyclic operad that exists on Zinbiel and on moulds.},
affiliation = {Université de Lyon ; Université Lyon 1 ; CNRS, UMR5208, Institut Camille Jordan, 43 blvd du 11 novembre 1918, F-69622 Villeurbanne-Cedex, France},
author = {Chapoton, Frédéric},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Operad; anticyclic operad; tree; permutation; fraction},
language = {fre},
month = {1},
number = {1},
pages = {17-45},
publisher = {Annales mathématiques Blaise Pascal},
title = {Une opérade anticyclique sur les arbustes},
url = {http://eudml.org/doc/116347},
volume = {17},
year = {2010},
}
TY - JOUR
AU - Chapoton, Frédéric
TI - Une opérade anticyclique sur les arbustes
JO - Annales mathématiques Blaise Pascal
DA - 2010/1//
PB - Annales mathématiques Blaise Pascal
VL - 17
IS - 1
SP - 17
EP - 45
AB - We define new combinatorial objects, called shrubs, such that forests of rooted trees are shrubs. We then introduce a structure of operad on shrubs. We show that this operad is contained in the Zinbiel operad, by using the inclusion of Zinbiel in the operad of moulds. We also prove that this inclusion is compatible with the richer structure of anticyclic operad that exists on Zinbiel and on moulds.
LA - fre
KW - Operad; anticyclic operad; tree; permutation; fraction
UR - http://eudml.org/doc/116347
ER -
References
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