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Operads of Finite Posets

Operads of finite posets
Authors: Fauvet, Frédéric; Foissy, Loïc; Manchon, Dominique;

Operads of Finite Posets

Abstract

We describe four natural operad structures on the linear species of finite posets. The three last ones are set-theoretical and can be seen as a simplified version of the first, the same way the NAP operad behaves with respect to the pre-Lie operad. Moreover the two first ones are isomorphic.

Country
France
Keywords

Symmetric functions and generalizations, partial orders, Connections of Hopf algebras with combinatorics, Algebraic aspects of posets, operads, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], posets, 18D50, 06A11, Hopf algebras, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), finite posets

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green
gold