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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2019
• 1. Verfasser: De Clercq, H.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2019
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210289
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...