Operads of Finite Posets

  • Frédéric Fauvet
  • Loïc Foissy
  • Dominique Manchon
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
How to Cite
Fauvet, F., Foissy, L., & Manchon, D. (2018). Operads of Finite Posets. The Electronic Journal of Combinatorics, 25(1), P1.44. https://doi.org/10.37236/6498
Article Number
P1.44