{
  "abstract": "Almost 30 years ago Littelmann conjectured that there is a unitriangular base change between the dual canonical basis and the path vector basis for all symmetrizable Kac-Moody Lie algebras. In this paper we give a positive answer to the conjecture for the case of classical Lie algebras and type $G_2$, when the path model is given by standard Young tableaux.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05183",
  "author_total": 1,
  "authors": [
    {
      "name": "Felix Röhrich"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fpak1ws3pyncp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05183",
  "fulltext_url": null,
  "id": "fpak1ws3pyncp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05183",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.QA"
    ],
    [
      "arxiv",
      "math.RT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05183",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fpak1ws3pyncp.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.05183",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05183"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Base change between canonical basis and path basis",
  "title_text": "Base change between canonical basis and path basis",
  "type": "preprint",
  "updated_at": "2026-11-04T15:21:29Z",
  "url": "https://research.draconitic.com/paper/fpak1ws3pyncp",
  "venue": "arXiv",
  "versions": []
}