4 problems

Narrow-screening conjecture. For every $\lambda\in\Lambda$ and $\sigma\in W$, $F_{\sigma,\lambda}$ is independent of the choice of a minimal expression of $\sigma$. Moreover,

Let $\mathcal{F}_{\Lambda}$ be the Fock representation with screening operators $\xi_i$ and $\eta_i$ for $i\in\hat{I}^-\cup\{m\}$, and set … For a weight $\Lambda$, let…

Let $zem_{\alpha_i^{long}}$ be the long screening operators associated with the long basis of the integral lattice, and let $\mathfrak{g}$ denote the corresponding Lie algebra (or…

Let $L=\sqrt{p}Q$ with $p\geq 2$, let $\mathfrak{g}$ be simply laced of rank $l$, and let $\mathcal{W}_k(\mathfrak{g})$ be the associated principal W-algebra with $p=k+h^\vee$. For…