{
  "id": "1604.08149",
  "version": "v1",
  "published": "2016-04-27T17:37:55.000Z",
  "updated": "2016-04-27T17:37:55.000Z",
  "title": "Operads of finite posets",
  "authors": [
    "Frédéric Fauvet",
    "Loïc Foissy",
    "Dominique Manchon"
  ],
  "categories": [
    "math.CO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-27T17:37:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18D50",
      "06A11"
    ],
    "keywords": [
      "finite posets",
      "natural operad structures",
      "nap operad behaves",
      "vector space",
      "pre-lie operad"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160408149F"
    }
  }
}