The block decomposition of the principal representation category of reductive algebraic groups with Frobenius maps

Xiaoyu Chen, Junbin Dong

Let $\mathbf{G}$ be a connected reductive algebraic group defined over the finite field ${\mathbb{F}}_q$ with $q$ elements. Let $\mathbb{k}$ be a field such that $\op{char} \Bbbk \ne \op{cha…