{
  "id": "2501.13476",
  "version": "v1",
  "published": "2025-01-23T08:47:11.000Z",
  "updated": "2025-01-23T08:47:11.000Z",
  "title": "Maximal finite semibricks in quiver representations",
  "authors": [
    "Sota Asai"
  ],
  "comment": "5 pages, comments welcome",
  "categories": [
    "math.RT"
  ],
  "abstract": "A semibrick is a set of modules satisfying Schur's Lemma. We prove that each maximal finite semibrick in representations of a finite acyclic quiver must consist of exceptional modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-01-23T08:47:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maximal finite semibrick",
      "quiver representations",
      "finite acyclic quiver",
      "modules satisfying schurs lemma",
      "exceptional modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}