On the maximal and minimal degree components of the cocenter of the cyclotomic KLR algebras

Jun Hu, Lei Shi

Let ${\mathcal{R}}_{\alpha }^{\Lambda }$ be the cyclotomic KLR algebra associated to a symmetrizable Kac-Moody Lie algebra $\mathfrak{g}$ and polynomials $\{Q_{ij}(u,v){\}}_{i,j\in I}$. Shan, Varagnolo…