Higher Rank Relations for the Askey-Wilson and q-Bannai-Ito Algebra

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: De Clercq, H.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210289
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Higher Rank Relations for the Askey-Wilson and q-Bannai-Ito Algebra / H. De Clercq // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 33 назв. — англ.

The higher rank Askey-Wilson algebra was recently constructed in the n-fold tensor product of Uq(sl₂). In this paper, we prove a class of identities inside this algebra, which generalize the defining relations of the rank-one Askey-Wilson algebra. We extend the known construction algorithm by severa...