Junbin Dong

activity

20172024

most citedIrreducibility of Certain Subquotients of Spherical Principal Series Representations of Reductive Groups with Frobenius Maps

8 citations · 8 across the 10 of their papers we have counts for

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Showing 2019 · math.RTShow all

5 papers · 2 filters

math.RT2019

Geck's Conjecture and the Generalized Gelfand-Graev Representations in Bad Characteristic

Junbin Dong, Gao Yang

For a connected reductive algebraic group $G$ defined over a finite field $F_{q}$ , Kawanaka introduced the generalized Gelfand-Graev representations (GGGRs for short) of the…

math.RT2019

Alvis-Curtis Duality for Representations of Reductive Groups with Frobenius Maps

Junbin Dong

We generalize the Alvis-Curtis duality to the abstract representations of reductive groups with Frobenius maps. Similar to the case of representations of finite reductive groups, w…

math.RT2019

The Principal Representations of Reductive Algebraic Groups with Frobenius Maps

Junbin Dong

We introduce the principal representation category $O (G)$ of reductive algebraic groups with Frobenius maps and put forward a conjecture that this category is a hig…

math.RT2019

Abstract induced modules for reductive algebraic groups with Frobenius maps

Xiaoyu Chen, Junbin Dong

Let $G$ be a connected reductive algebraic group defined over a finite field $F_{q}$ of $q$ elements, and $B$ be a Borel subgroup of $G$ defined over $\mat…

math.RT2019

The Decomposition of Permutation Module for Infinite Chevalley Groups

Xiaoyu Chen, Junbin Dong

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