Tridiagonal pairs of $q$-Racah type, the Bockting operator $ψ$, and $L$-operators for $U_q(L({\mathfrak{sl}}_2))$

Abstract

We describe the Bockting operator $ψ$ for a tridiagonal pair of $q$-Racah type, in terms of a certain $L$-operator for the quantum loop algebra $U_q(L({\mathfrak {sl}}_2))$.

12 pages