“…We just mentioned how Leonard pairs are related to orthogonal polynomials. Leonard pairs have applications to many other areas of mathematics and physics, such as Lie theory [25,39,4,21,22,29], quantum groups [1,12,28,30,13,2,14,26], spin models [17,41,18,16], double affine Hecke algebras [40,23,24,32,33], partially ordered sets [35,45,55,36], and exactly solvable models in statistical mechanics [5,6,7,8,9,10,11]. For more information about Leonard pairs and related topics, see [48,46,39,42,44].…”