6 problems

Let $U_q(\mathfrak{su}_2)$ act diagonally on the tensor product of three spin representations. The centralizer quotient conjecture. In general, the centralizer of this diagonal act…

Uniqueness conjecture. There is no homomorphism apart from the one already given that sends $\mathcal W_0$ and $\mathcal W_1$ to elements of this form.

Let $U_q(\mathfrak{sl}_2)$ act diagonally on the tensor product of three finite irreducible representations with spins $j_1,j_2,j_3$, and let $\mathfrak{\textbf{saw}}(3)$ denote th…

What is lacking in the previous list is the generalization $\mathbf{saw}(n)$ of the algebra $\mathbf{saw}(3)$. Such a generalization would provide a description of the algebra…

Let $j_1,j_2,j_3$ be representation labels and let $\mathcal{J}(j_1,j_2,j_3)$ be the set of admissible intermediate labels. For each $k\in\mathcal{J}(j_1,j_2,j_3)$, let…

Let $j_1,j_2,j_3$ be representation labels, let $AW(3)$ be the centrally extended Askey–Wilson algebra, and let $\mathcal{C}_{j_1,j_2,j_3}$ be the centralizer under consideration.…