3 problems

Let $q=\exp(\pi i/\ell)$ with $\ell\ge3$, and let $\operatorname{Conf}_{\vec\Lambda}^{(\ell)}$ be the space spanned by the lattice restrictions of the Weyl anti-symmetrized hyperge…

Let $\vec\Lambda\in\mathbb Z_{\ge0}^n[2{\mathfrak m}]$, and let $\mathbb M_\Theta$ be the Macdonald–Ruijsenaars operator acting on $L_{\vec\Lambda}[0]$-valued trigonometric polynom…

When the highest weights are integral, the qKZB and Macdonald–Ruijsenaars operators may have singularities on the lattice, so their modified versions are defined by removing the si…