4 problems

Let $R^\lambda(\beta)$ be the cyclotomic Khovanov–Lauda–Rouquier algebra associated with a dominant weight $\lambda$ and weight $\beta$, and let $Z(R^\lambda(\beta))$ denote its ce…

Cuspidal short exact sequence conjecture. For non-symmetric $\mathsf{C}$, let $\rho\in\Phi_+^{\mathrm{re}}$, and let $(\beta,\gamma)$ be a real minimal pair for $\rho$. Then there…

A Khovanov-Lauda-Rouquier algebra is an algebra associated with a Cartan datum and a positive root, equipped with its standard grading. An algebra is graded affine cellular if it a…

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…