Junbin Dong

activity

20212025

collaborators

4 papers

math.RT2025

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.RT2023

Complex representations of reductive algebraic groups with Frobenius maps in the category $X$

Junbin Dong

In this paper we introduce an abelian category $X (G)$ to study the complex representations of a reductive algebraic groups $G$ with Frobenius map. We classify all…

math.RT2021

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

Complex representations of reductive algebraic groups with Frobenius maps in the category X

The decomposition of permutation module for infinite Chevalley groups, II

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

Complex representations of reductive algebraic groups with Frobenius maps in the category $X$