3 problems

Strong-generation conjecture. The subalgebra of $\Pi_{{\rm SL}_2}^{\otimes(s+1)}$ weakly generated by $e_i,h_i,f_i$ for $i=1,\dots,s$ and $X^{++\cdots+}$ is strongly generated by…

Strong-generation conjecture. If $G$ is not $\operatorname{Spin}(2N)$, then $\mathbf{I}_G$ is strongly generated by $(P_i)_{i=1}^{\operatorname{rk}\mathfrak{g}}$ and generators…

For each integer $n\geq1$, let ${\mathcal D}^k(n)$ be the generalized orthogonal parafermion algebra defined by … Suppose ${\mathcal D}^k(n)$ is of type…