{
  "id": "2404.11472",
  "version": "v1",
  "published": "2024-04-17T15:26:45.000Z",
  "updated": "2024-04-17T15:26:45.000Z",
  "title": "A Course on Lie algebras and Chevalley groups",
  "authors": [
    "Meinolf Geck"
  ],
  "comment": "148+iv pages; comments very welcome!",
  "categories": [
    "math.RT"
  ],
  "abstract": "These are notes of a graduate course on semisimple Lie algebras and Chevalley groups (over arbitrary fields). The aim is to give a self-contained introduction to these topics based on Lusztig's recent simplified approach, which is inspired by the general theory of ``canonical'' bases. Many constructions are of a purely combinatorial nature and, hence, can be implemented on a computer. We explicitly incorporate such algorithmic methods in our treatment. This is the first part of a planned book project.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-17T15:26:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B45",
      "20G40"
    ],
    "keywords": [
      "chevalley groups",
      "semisimple lie algebras",
      "planned book project",
      "graduate course",
      "first part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}