The anticyclic operad of moulds

A new anticyclic operad Mould is introduced, on spaces of functions in several variables. It is proved that the Dendriform operad is an anticyclic suboperad of this operad. Many operations on the free Mould algebra on one generator are introduced and studied. Under some restrictions, a forgetful map from moulds to formal vector fields is then defined. A connection to the theory of tilting modules for quivers of type A is also described.

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Field Value
Source ISSN: 1073-7928
Author Chapoton, Frédéric
Maintainer CCSD
Last Updated May 6, 2026, 07:05 (UTC)
Created May 6, 2026, 07:05 (UTC)
Identifier hal-00095038
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institut Camille Jordan (ICJ) ; École Centrale de Lyon (ECL) ; Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL) ; Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon) ; Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM) ; Université Jean Monnet (EPSCPE) (UJM EPE)-Université Jean Monnet (EPSCPE) (UJM EPE)-Centre National de la Recherche Scientifique (CNRS)
creator Chapoton, Frédéric
date 2007-09-19T00:00:00
harvest_object_id ab1c4dbe-efa1-4771-b3bf-0f303258c00b
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-04-23T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/math.QA/0609436
set_spec type:ART