Operads of Finite Posets

Frédéric Fauvet, Loïc Foissy, Dominique Manchon


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.


Partial orders; Finite posets; Hopf algebras; Posets; Operads

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