{
  "id": "1009.5852",
  "version": "v1",
  "published": "2010-09-29T11:50:10.000Z",
  "updated": "2010-09-29T11:50:10.000Z",
  "title": "Tensor products of representations up to homotopy",
  "authors": [
    "Camilo Arias Abad",
    "Marius Crainic",
    "Benoit Dherin"
  ],
  "comment": "42 pages, 2 figures",
  "categories": [
    "math.AT"
  ],
  "abstract": "We study the construction of tensor products of representations up to homotopy, which are the A-infinity version of ordinary representations. We provide formulas for the construction of tensor products of representations up to homotopy and of morphisms between them, and show that these formulas give the homotopy category a monoidal structure which is uniquely defined up to equivalence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-29T11:50:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tensor products",
      "monoidal structure",
      "construction",
      "ordinary representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.5852A"
    }
  }
}