{
  "abstract": "Given a complex reductive group $G$, a representation $V$ of $G$ and a Borel-stable subspace $M \\subset V$, we consider the associated Steinberg-type variety $Z$. We prove that, under a certain condition on $(V,M)$, called gluability, the equivariant Borel-Moore homology or $K$-theory of $Z$, equipped with the convolution product, is obtained as the intersection of two copies of the nil-Hecke algebra inside its localization. We also provide a description of these new algebras in terms of poles and residues. Similar results are obtained when $G$ is replaced by its loop group. This generalizes results of Ginzburg, Kapranov and Vasserot describing the affine Hecke algebra and DAHA, as well as a result of Teleman and Gannon--Webster that realizes certain Coulomb branches by gluing two copies of the universal centralizer.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.19783",
  "author_total": 1,
  "authors": [
    {
      "name": "Dragos Crisan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7hs1fgjbb0ahh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.19783",
  "fulltext_url": null,
  "id": "7hs1fgjbb0ahh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.19783",
  "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.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7165358331",
  "pdf_url": "https://arxiv.org/pdf/2606.19783",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7hs1fgjbb0ahh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:15Z",
      "native_id": "2606.19783",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.19783"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Convolution algebras associated to representations",
  "title_text": "Convolution algebras associated to representations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:15Z",
  "url": "https://research.draconitic.com/paper/7hs1fgjbb0ahh",
  "venue": "arXiv",
  "versions": []
}