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- W4302401145 abstract "A new hierarchy of combinatorial operads is introduced, involving families of regular polygons with configurations of arcs, called decorated cliques. This hierarchy contains, among others, operads on noncrossing configurations, Motzkin objects, forests, dissections of polygons, and involutions. All this is a consequence of the definition of a general functorial construction from unitary magmas to operads. We study some of its main properties and show that this construction includes the operad of bicolored noncrossing configurations and the operads of simple and double multi-tildes. We focus in more details on a suboperad of noncrossing decorated cliques by computing its presentation, its Koszul dual, and showing that it is a Koszul operad." @default.
- W4302401145 created "2022-10-06" @default.
- W4302401145 creator A5035678818 @default.
- W4302401145 date "2017-09-25" @default.
- W4302401145 modified "2023-10-18" @default.
- W4302401145 title "Combalgebraic structures on decorated cliques" @default.
- W4302401145 doi "https://doi.org/10.48550/arxiv.1709.08416" @default.
- W4302401145 hasPublicationYear "2017" @default.
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