{
  "id": "1601.02145",
  "version": "v1",
  "published": "2016-01-09T18:50:23.000Z",
  "updated": "2016-01-09T18:50:23.000Z",
  "title": "Algebraic K-theory of varieties $SL_{2n}/Sp_{2n}$, $E_6/F_4$ and their twisted forms",
  "authors": [
    "Maria Yakerson"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AG",
    "math.KT"
  ],
  "abstract": "Let $SL_{2n}$, $Sp_{2n}$, $E_6 = G^{sc}(E_6)$, $F_4 = G(F_4)$ be simply connected split algebraic groups over an arbitrary field $F$. Algebraic K-theory of affine homogeneous varieties $SL_{2n}/Sp_{2n}$ and $E_6/F_4$ is computed. Moreover, explicit elements that generate $K_*(SL_{2n}/Sp_{2n})$ and $K_*(E_6/F_4)$ as $K_*(F)$-algebras are provided. For some twisted forms of these varieties K-theory is also computed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-09T18:50:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19E08",
      "14M17"
    ],
    "keywords": [
      "algebraic k-theory",
      "twisted forms",
      "simply connected split algebraic groups",
      "varieties k-theory",
      "explicit elements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160102145Y"
    }
  }
}