3 problems

Let $m,p\in 2\mathbb{Z}_{\geq 1}+1$, let $k<n$, and let $\mathfrak{g}=C_n^{(1)}$. Write $d_{k^m,k^p}(z)$ for the denominator polynomial of the corresponding normalized $R$-matrix,…

Let $d_{l^p,k^m}(z)$ denote the denominator of the normalized $R$-matrix between the relevant Kirillov–Reshetikhin modules in untwisted affine type $E_n^{(1)}$. Denominator formula…

Let $Q$ be a Dynkin quiver of finite type $E_n$, and let $\Gamma_Q$ and $\Gamma_{Q^{\mathrm{rev}}}$ be the quiver data associated with $Q$ and its reverse. For vertices $k,l$, let…