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Journal Articles The Electronic Journal of Combinatorics Year : 2018

Operads of finite posets

Abstract

We describe four natural operad structures on the vector space generated by isomorphism classes 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.

Dates and versions

hal-03043657 , version 1 (07-12-2020)

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Frédéric Fauvet, Loïc Foissy, Dominique Manchon. Operads of finite posets. The Electronic Journal of Combinatorics, 2018, 25 (1), pp.P1.44. ⟨10.37236/6498⟩. ⟨hal-03043657⟩
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