4 problems

Let the inclusive Racah matrices and the corresponding $\mathcal{R}$-matrices be those associated with three-strand knots, with the $\mathcal{R}$-matrix eigenvalues normalized by a…

Let two $\mathcal{R}$-matrices have normalized eigenvalues, and consider their corresponding multistrand Racah matrices, including their block structures. Multistrand eigenvalue co…

Eigenvalue hypothesis. The Racah matrix $U$ can be expressed in terms of the eigenvalues $\tilde{\lambda}_{X_{\alpha},s}([r_i],[r_j])$ of the quantum $\mathcal R$-matrices.

Strong eigenvalue conjecture. The formulas … should describe the Racah matrices for arbitrary sets of ${\cal R}$-matrix eigenvalues.