Junbin Dong

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20242026

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math.RT2026

Some conjectures on the quotients of the tensor products in the category $X$

Junbin Dong

Let $G$ be a connected reductive algebraic group defined over the finite field $F_{q}$ with $q$ elements. We propose some conjectures concerning the simple quotients o…

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

The decomposition of permutation module for infinite Chevalley groups, II

Junbin Dong

Let $G$ be a connected reductive algebraic group over an algebraically closed field $k$ and $B$ be an Borel subgroup of $G$ . In this paper we completely determi…

Some conjectures on the quotients of the tensor products in the category X

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

The decomposition of permutation module for infinite Chevalley groups, II

Some conjectures on the quotients of the tensor products in the category $X$