2016/04/27 by Fauvet, Frédéric, Foissy, Loïc, Manchon, Dominique
#06A11 #18D50 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1604.08149
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.