{
  "id": "2307.15660",
  "version": "v1",
  "published": "2023-07-28T16:43:02.000Z",
  "updated": "2023-07-28T16:43:02.000Z",
  "title": "A Type D Asymmetric Simple Exclusion Process Generated by an Explicit Central Element of $\\mathcal{U}_q(\\mathfrak{so}_{10})$",
  "authors": [
    "Eddie Rohr",
    "Karthik Sellakumaran Latha",
    "Amanda Yin"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Type D asymmetric simple exclusion process (Type D ASEP) is a two-species interacting particle system exhibiting a drift, where two particles may occupy the same site only if they belong to different species. In previous research (arXiv:2011.13473), the Type D ASEP was generated using the quantum Hamiltonian corresponding to central elements from the quantum groups $\\mathcal{U}_q(\\mathfrak{so}_6)$ and $\\mathcal{U}_q(\\mathfrak{so}_8)$. We extend this construction to the case of $\\mathcal{U}_q(\\mathfrak{so}_{10})$. Additionally, we generalize a previously known duality function from arXiv:2209.11114 for the Type D ASEP for all $n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-28T16:43:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J27",
      "17B37"
    ],
    "keywords": [
      "asymmetric simple exclusion process",
      "explicit central element",
      "interacting particle system exhibiting",
      "two-species interacting particle system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}