5 problems

Let $u$ be a positive integer and set … Let $y$ be an automorphism of the root lattice $\widehat{Q}$ such that all roots $\gamma_i=y((u-1)\delta_{i0}K+\alpha_i^{\vee})$ are positiv…

Let $L(\Lambda)$ be an integrable nonzero-level module over the affine Lie superalgebra in the surrounding section, with $\Lambda\in\Omega_k$ or $\Lambda\in\Omega'_k$. Define…

Let $\mathfrak{g}=\operatorname{osp}(n+2\mid n)$ or $D(2,1;a)$, let $L(\Lambda)$ be an integrable highest weight affine module satisfying the conditions stated for the normalized c…

Let $chat{\mathfrak{g}}$ be an affine superalgebra, let $L(\Lambda)$ be a tame integrable highest weight module, let $T$ be a set of pairwise orthogonal isotropic roots as in the d…

Let $\mathfrak{W}_{n,\ell}$ be an extended algebra constructed from $\widehat{\mathfrak{gl}}(1\mid 1)$, and let $W^{(2)}_N$ denote the Feigin–Semikhatov algebra at level $K$. Expli…