The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• Hauptverfasser: Crampé, Nicolas, Frappat, Luc, Poulain d'Andecy, Loïc, Ragoucy, Eric
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212007
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms. Nicolas Crampé, Luc Frappat, Loïc Poulain d'Andecy and Eric Ragoucy. SIGMA 19 (2023), 077, 36 pages

We propose a definition by generators and relations of the rank − 2 Askey-Wilson algebra () for any integer , generalising the known presentation for the usual case =3. The generators are indexed by connected subsets of {1, …, }, and the simple and rather small set of defining relations is directl...