Operads of Finite Posets

  • Frédéric Fauvet
  • Loïc Foissy
  • Dominique Manchon
DOI: https://doi.org/10.37236/6498
Keywords: Partial orders, Finite posets, Hopf algebras, Posets, Operads

Abstract

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.
Published
2018-02-21
Issue
Volume 25, Issue 1 (2018)
Article Number
P1.44