4 problems

Let $\mathfrak{g}$ be either a symplectic or orthogonal simple Lie algebra, let $f$ be a nilpotent element, and let $k$ be an admissible level. Exhaustiveness conjecture. The cases…

Let $\mathfrak{g}$ be a classical Lie algebra, let $\mathcal{W}$ be the associated finite W-algebra, and write … for its abelianization. An irreducible component of…

Let $\mathfrak{g}$ be of classical type, and let a minimal affinization be specialized at $q=1$ to a module in one of the paper's Serre subcategories of graded modules over a trunc…

Let $\mathfrak{g}$ be $so_N$ or $sp_N$, let $m$ be a positive integer, and define … Let $\mathcal{O}_m$ be the adjoint orbit open in $N_m$, assumed unique when…