Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra
Quantum Algebra
2019-12-20 v2 Mathematical Physics
math.MP
Abstract
The higher rank Askey-Wilson algebra was recently constructed in the -fold tensor product of . 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 several equivalent methods, using a novel coaction. These allow to simplify calculations significantly. At the same time, this provides a proof of the corresponding relations for the higher rank -Bannai-Ito algebra.
Keywords
Cite
@article{arxiv.1908.11654,
title = {Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra},
author = {Hadewijch De Clercq},
journal= {arXiv preprint arXiv:1908.11654},
year = {2019}
}