3 problems

Let $A$ and $B$ be categories, let $f\colon A\to B$ be a functor, and let $\Psi$ be a class of weights. The notions of $\Psi$-admissibility and $\Psi$-cocontinuity are defined usin…

The 2nd adjointness conjecture. The functor $J\circ\operatorname{oblv}_{K/M_K}$, up to a shift, provides a right adjoint to the principal series functor…

Let $\Lambda$ be a dominant integral weight, let $R^\Lambda(\beta)$ be the cyclotomic Khovanov–Lauda–Rouquier algebra, and for $i\in I$ let $E_i^\Lambda$ and $F_i^\Lambda$ be the r…