3 problems

Let $e$ be the quantum characteristic, let $\mathcal{S}_n$ be the level 2 cyclotomic $q$-Schur algebra, and let $B$ be a block of $\mathcal{S}_n$. Schurian-finiteness conjecture. F…

Krull–Schmidt property. In the case of the categorifications of $\operatorname{Skein}_q(n,N)$ and $S_q(n,\Delta_N)$, the category $\mathcal{X}'$ has the Krull–Schmidt property.

Let $q\in k^\times$, and let $p$ be the least natural number such that … Let $n,w$ be natural numbers with $n\geq w$. Let ${\cal Q}_p(n,w)$ be the quasi-hereditary subquotient of…