Frédéric Fauvet, Loïc Foissy, Dominique Manchon
Published 2016-04-27Version 1
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.
Dualizing and canonical complexes on finite posets
Automorphism groups of finite posets II
Paley-like graphs over finite fields from vector spaces
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