{
  "annotation_id": "3741b198-d44b-4441-b700-efe0340aaadb",
  "date_created": "2026-02-17T05:53:20.470000Z",
  "date_modified": "2026-02-17T05:53:20.470000Z",
  "file_hash": "ce4baad20180a2445d5bdee7cf6e4fd45119b2369d75161d1cae3dce737112cb",
  "private": false,
  "record": {
    "abstract": "Suppose $F$ is a finite unramified extension of $\\mathbb{Q}_p$, and $G$ is the group of $F$-points of a split, connected, reductive group over $F$. Under a natural restriction on $p$, we determine the structure of the graded mod $p$ Iwasawa algebra $\\textrm{gr}_{\\mathfrak{m}}(\\mathbb{F}_p [\\![ I]\\!])$, where $I$ is a pro-$p$ Iwahori subgroup of $G$. We also determine its maximal commutative quotient, and relate these results to Gelfand--Kirillov dimensions of smooth mod $p$ representations of $G$.",
    "arxiv_id": "2601.09021",
    "authors": [
      "Rudy Ariaz",
      "Steven Creech",
      "Bryan Hu",
      "Simran Khunger",
      "Karol Koziol",
      "Bharatha Rankothge",
      "Bobby Zixuan Zhang"
    ],
    "categories": [
      "math.RT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Mod $p$ Iwasawa algebras of pro-$p$ Iwahori subgroups",
    "url": "https://arxiv.org/abs/2601.09021",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "31fb2954-d1e4-441a-ab42-05dd5853c0e7",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}