  The loop algebra $L(\mathfrak{sl}_{2})$ symmetry is found in a sector of the
nilpotent Bazhanov-Stroganov model. The Drinfeld polynomial of a
$L(\mathfrak{sl}_{2})$-degenerate eigenspace of the model is equivalent to the
polynomial which characterizes a subspace with the Ising-like spectrum of the
superintegrable chiral Potts model.
