The Decomposition of Permutation Module for Infinite Chevalley Groups

Xiaoyu Chen, Junbin Dong

Let $\mathbf{G}$ be a connected reductive group defined over ${\mathbb{F}}_q$, the finite field with $q$ elements. Let $\mathbf{B}$ be an Borel subgroup defined over ${\mathbb{F}}_q$. In thi…