4 problems

Chari–Pressley dimension conjecture.

Let $W_1,\dots,W_r$ be the modules considered in the preceding construction, let $\mathcal{A}(\lambda_1,\dots,\lambda_r)$ be the associated parameter algebra, and let…

Let $P^+$ be the dominant integral weights of $cmathfrak{sl}_n$, let $cmathcal{P}_{clambda}$ be the set of decompositions of $clambdain P^+$ into two dominant weights, and let…

Let ${\pmb{\omega}}$ be an element of $\mathcal P_\mathbb A^\times$, let $\lambda=\mathrm{wt}({\pmb{\omega}})$, and let…