4 problems

Let $V$ be a finite-dimensional vector space over $\mathbb K$ of positive dimension, and let $A,A^*,A^\varepsilon:V\to V$ be linear transformations. A Leonard pair is a pair of tra…

Let $V_{2j_1}(u)\tensor V_{2j_2}(u)$ be the tensor-product vector space, and let $(\mathcal{A}_2,\mathcal{A}_{12};\mathcal{B}_{12},\mathcal{B}_1)$ be the indicated ordered 4-tuple…

A factorized $A_2$-Leonard pair is an object defined in the paper, and Sections and give lists of examples of such pairs. Exhaustiveness conjecture. The list of factorized $A_2$-Le…

A factorized $A_2$-Leonard pair consists of compatible parameter arrays … and … where the arrays are of type II when their eigenvalues are quadratic in the index. A parameter array…