{
  "id": "math/0104151",
  "version": "v1",
  "published": "2001-04-13T18:51:46.000Z",
  "updated": "2001-04-13T18:51:46.000Z",
  "title": "Cluster algebras I: Foundations",
  "authors": [
    "Sergey Fomin",
    "Andrei Zelevinsky"
  ],
  "comment": "33 pages",
  "categories": [
    "math.RT",
    "math.AG",
    "math.QA"
  ],
  "abstract": "In an attempt to create an algebraic framework for dual canonical bases and total positivity in semisimple groups, we initiate the study of a new class of commutative algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-04-13T18:51:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cluster algebras",
      "foundations",
      "algebraic framework",
      "dual canonical bases",
      "total positivity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......4151F"
    }
  }
}