{
  "abstract": "Let $D(G)$ denote the derived category of smooth $G$-representations on $k$-vector spaces, where $G$ is a locally pro-$p$ group and $k$ is a field of characteristic $p$. In this paper we are primarily interested in the graded center of the subcategory of compact objects $Z^*(D(G)^c)$ and variants thereof. When $G$ is a $p$-adic Lie group, without proper open centralizers, we completely determine this center modulo locally nilpotent elements and give various applications.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.23427",
  "author_total": 2,
  "authors": [
    {
      "name": "Peter Schneider"
    },
    {
      "name": "Claus Sorensen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b86q2d3qn94j8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.23427",
  "fulltext_url": null,
  "id": "b86q2d3qn94j8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.23427",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CT"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7204168135",
  "pdf_url": "https://arxiv.org/pdf/2608.23427",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b86q2d3qn94j8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:23Z",
      "native_id": "2608.23427",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.23427"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On the graded center of $D(G)^c$",
  "title_text": "On the graded center of D(G)^c",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/b86q2d3qn94j8",
  "venue": "arXiv",
  "versions": []
}