Operads of Finite Posets
Keywords: Partial orders, Finite posets, Hopf algebras, Posets, Operads
AbstractWe 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.