Une opérade anticyclique sur les arbustes

Details Une opérade anticyclique sur les arbustes Une opérade anticyclique sur les arbustes

2009-02-12

arxiv.org/abs/0902.2144v1

Mathematics

Quantum Algebra

21 pages, 2 figures

Scientific paper

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.

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