{
  "id": "2407.06559",
  "version": "v1",
  "published": "2024-07-09T05:35:46.000Z",
  "updated": "2024-07-09T05:35:46.000Z",
  "title": "Subspaces, subsets, and Motzkin paths",
  "authors": [
    "Jonathan D. Farley",
    "Murali K. Srinivasan"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We define a map from subspaces to Motzkin paths and show that the inverse image of every path is a disjoint union of symmetric Boolean subsets yielding an explicit symmetric Boolean decomposition of the subspace lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-09T05:35:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "motzkin paths",
      "explicit symmetric boolean decomposition",
      "disjoint union",
      "symmetric boolean subsets yielding",
      "inverse image"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}