# Finite-dimensional irreducible modules of the universal Askey–Wilson algebra at roots of unity

2 引文 斯高帕斯（Scopus）

## 摘要

Let F denote an algebraically closed field and assume that q∈F is a primitive dth root of unity with d≠1,2,4. The universal Askey–Wilson algebra △q is a unital associative F-algebra defined by generators and relations. The generators are A,B,C and the relations assert that each of [Formula presented] [Formula presented] commutes with A,B,C. We show that every finite-dimensional irreducible △q-module is of dimension less than or equal to {difdis odd;d/2ifdis even. Moreover we provide an example to show that the bound is tight.

原文 ???core.languages.en_GB??? 12-29 18 Journal of Algebra 569 https://doi.org/10.1016/j.jalgebra.2020.11.012 已出版 - 1 3月 2021

## 指紋

• ### 宇拉卡代數及其應用(4/4)

Huang, H.

1/08/2031/07/21

研究計畫: Research