{
  "id": "1202.3090",
  "version": "v1",
  "published": "2012-02-14T17:11:28.000Z",
  "updated": "2012-02-14T17:11:28.000Z",
  "title": "On motives of algebraic groups associated to a divsion algebra",
  "authors": [
    "Evgeny Shinder"
  ],
  "comment": "PhD thesis",
  "categories": [
    "math.AG",
    "math.KT"
  ],
  "abstract": "We consider algebraic groups GL_1(A), SL_1(A), where A is a division algebra of prime degree over a field F, and associated motives in the category of motivic complexes DM(F). Following an idea of Suslin, we relate motives of these groups to the motive of Voevodsky's simplicial scheme X, associated to the Severi-Brauer variety of A.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-14T17:11:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F42",
      "20G15"
    ],
    "keywords": [
      "algebraic groups",
      "divsion algebra",
      "voevodskys simplicial scheme",
      "motivic complexes dm",
      "prime degree"
    ],
    "tags": [
      "dissertation"
    ],
    "publication": {
      "journal": "Ph.D. Thesis",
      "year": 2012
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhDT........22S"
    }
  }
}