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

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...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2023
Main Authors: Crampé, Nicolas, Frappat, Luc, Poulain d'Andecy, Loïc, Ragoucy, Eric
Format: Article
Language:English
Published: Інститут математики НАН України 2023
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212007
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine