论文标题
$ u_q（\ Mathfrak {sl} _2）$的Askey-Wilson编织代数和中央器
Askey-Wilson braid algebra and centralizer of $U_q(\mathfrak{sl}_2)$
论文作者
论文摘要
提供了量子组$ u_q（\ mathfrak {sl} _2）$的旋转$ s $表示的三倍张量产品的中央介绍。它表示为Askey-Wilson编织代数的商。这个新定义的代数将Askey-Wilson的关系与辫子群体关系结合在一起，分别是三个链，以及一个特征性的度量方程式，用于辫子发电机的$ 2S+1 $。为中心器提供明确的基础。
A presentation of the centralizer of the three-fold tensor product of the spin $s$ representation of the quantum group $U_q(\mathfrak{sl}_2)$ is provided. It is expressed as a quotient of the Askey-Wilson braid algebra. This newly defined algebra combines the Askey-Wilson relations with the braid group relations, on three strands, together with a characteristic equation of degree $2s+1$ for the braid generators. Explicit bases are given for the centralizer.
