{
  "abstract": "Let $G$ be a split Kac–Moody group over a non‐Archimedean local field, and $\\mathcal{H}$ let be the Iwahori–Hecke algebra of . In this paper, we construct a completed Iwahori–Hecke algebra and prove that it contains a large center isomorphic to Looijenga's invariant ring. By the Kac–Moody Satake isomorphism, Looijenga's invariant ring is isomorphic to the spherical Hecke algebra. We prove that our completion is equal to Iwahori biinvariant functions on satisfying a support condition that we call Weyl almost finite support .",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2510.17559",
  "author_total": 2,
  "authors": [
    {
      "name": "Auguste Hébert"
    },
    {
      "name": "Dinakar Muthiah"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8125kjme2ey4n.bib",
  "cited_by": 0,
  "doi": "10.1112/plms.70189",
  "fulltext_url": null,
  "id": "8125kjme2ey4n",
  "issns": [
    "0024-6115",
    "1460-244X"
  ],
  "landing_url": "https://hal.science/hal-05743118v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-rt"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7171277058",
  "pdf_url": "https://hal.science/hal-05743118/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-22",
  "publisher": "London Mathematical Society",
  "ris": "https://research.draconitic.com/paper/8125kjme2ey4n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:31Z",
      "native_id": "hal-05743118",
      "source": "hal",
      "url": "https://hal.science/hal-05743118v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-rt",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Completed Iwahori–Hecke algebra for Kac–Moody groups over local fields",
  "title_text": "Completed Iwahori–Hecke algebra for Kac–Moody groups over local fields",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:31Z",
  "url": "https://research.draconitic.com/paper/8125kjme2ey4n",
  "venue": "Proceedings of the London Mathematical Society",
  "versions": []
}