{
  "id": "2307.13904",
  "version": "v1",
  "published": "2023-07-26T02:05:09.000Z",
  "updated": "2023-07-26T02:05:09.000Z",
  "title": "Schubert calculus in Lie groups",
  "authors": [
    "Haibao Duan"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AT",
    "math.AG"
  ],
  "abstract": "Let $G$ be a simple Lie group with a maximal torus $T$. Combining Schubert calculus in the flag manifold $G/T$ with the Serre spectral sequence of the fibration $G\\rightarrow G/T$, we construct the integral cohomology ring $H^{\\ast}(G)$ uniformly for all $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-26T02:05:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "55T10"
    ],
    "keywords": [
      "simple lie group",
      "serre spectral sequence",
      "combining schubert calculus",
      "integral cohomology",
      "flag manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}