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| HAL: hal-00677425, version 1 |
| arXiv: 1203.1780 |
| Detailed view |  Export this paper |
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| Flows on rooted trees and the Narayana idempotents |
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| Frédéric Chapoton 1 |
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| (2012-03-08) |
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| Several generating series for flows on rooted trees are introduced, as elements in the group of series associated with the Pre-Lie operad. By combinatorial arguments, one proves identities that characterise these series. One then gives a complete description of the image of these series in the group of series associated with the Dendriform operad. This allows to recover the Lie idempotents in the descent algebras recently introduced by Menous, Novelli and Thibon. Moreover, one defines new Lie idempotents and conjecture the existence of some others. |
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| 1: | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Subject | : | Mathematics/Quantum Algebra |
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| rooted tree – pre-lie operad – dendriform operad – flow – Lie idempotent – Narayana polynomial |
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| Attached file list to this document: | |||||
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| hal-00677425, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00677425 | |
| oai:hal.archives-ouvertes.fr:hal-00677425 | |
| From: Frédéric Chapoton | |
| Submitted on: Thursday, 8 March 2012 11:49:58 | |
| Updated on: Thursday, 8 March 2012 13:56:31 | |
