{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/a-type-d-asymmetric-simple-exclusion-process","title":"A Type D Asymmetric Simple Exclusion Process Generated by an Explicit Central Element of $\\mathcal{U}_q(\\mathfrak{so}_{10})$","arxiv_id":"2307.15660","date":"2023-07-28","proceeding":null,"authors":["Eddie Rohr","Karthik Sellakumaran Latha","Amanda Yin"],"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 $n$.","url_abs":"https://arxiv.org/abs/2307.15660v1","url_pdf":"https://arxiv.org/pdf/2307.15660v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"a-type-d-asymmetric-simple-exclusion-process","repo_url":"https://github.com/e-rohr/type-d-asep","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}