English

Operads of finite posets

Combinatorics 2016-09-30 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1604.08149,
  title  = {Operads of finite posets},
  author = {Frédéric Fauvet and Loïc Foissy and Dominique Manchon},
  journal= {arXiv preprint arXiv:1604.08149},
  year   = {2016}
}

Comments

terminology issue (coarser vs. finer) corrected