Xiaoyu Chen

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math.RT2025

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

Xiaoyu Chen, Junbin Dong

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

math.RT2024

On the extensions of certain representations of reductive algebraic groups with Frobenius maps

Xiaoyu Chen, Junbin Dong

Let $G$ be a connected reductive algebraic group defined over the finite field $F_{q}$ with $q$ elements,where $q$ is a power of a prime number $p$ . Let $k$ be a f…