The algebra $U_q({\mathfrak{sl}}_2)$ in disguise

Sarah Bockting-Conrad, Paul Terwilliger

We discuss a connection between the algebra $U_q({\mathfrak{sl}}_2)$ and the tridiagonal pairs of $q$-Racah type. To describe the connection, let $x,y^{\pm 1},z$ denote the equitab…