# An embedding of the universal Askey–Wilson algebra into Uq(sl2)⊗Uq(sl2)⊗Uq(sl2)

20 引文 斯高帕斯（Scopus）

## 摘要

The Askey–Wilson algebras were used to interpret the algebraic structure hidden in the Racah–Wigner coefficients of the quantum algebra Uq(sl2). In this paper, we display an injection of a universal analog △q of Askey–Wilson algebras into Uq(sl2)⊗Uq(sl2)⊗Uq(sl2) behind the application. Moreover we establish the decomposition rules for 3-fold tensor products of irreducible Verma Uq(sl2)-modules and of finite-dimensional irreducible Uq(sl2)-modules into the direct sums of finite-dimensional irreducible △q-modules. As an application, we derive a formula for the Racah–Wigner coefficients of Uq(sl2).

原文 ???core.languages.en_GB??? 401-434 34 Nuclear Physics B 922 https://doi.org/10.1016/j.nuclphysb.2017.07.007 已出版 - 9月 2017

## 指紋

• ### 從宇艾斯基暨威爾斯代數至Uq(sl2)三折層張量積的同態變換

Huang, H.

1/10/1630/09/17

研究計畫: Research