Jiping Zhang

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math.RT2025

Generic weights for finite reductive groups

Zhicheng Feng, Gunter Malle, Jiping Zhang

This paper is motivated by the study of Alperin's weight conjecture in the representation theory of finite groups. We generalize the notion of $e$ -cuspidality in the $e$ -Harish-Cha…

math.RT2025

Categorical action for finite classical groups and its applications: characteristic 0

Pengcheng Li, Peng Shan, Jiping Zhang

In this paper, we construct a categorical double quantum Heisenberg action on the representation category of finite classical groups $O_{2 n + 1} (q)$ , $Sp_{2 n} (q)$ a…

math.RT2024

Radical subgroups of finite reductive groups

Zhicheng Feng, Jun Yu, Jiping Zhang

Radical subgroups play an important role in both finite group theory and representation theory. This is the first of a series of papers of ours in classifying radical $p$ -subgroups…

math.RT2024

Descent of splendid Rickard equivalences in $GL_{n} (q)$

Xin Huang, Pengcheng Li, Jiping Zhang

Let $n$ be a positive integer and $q$ a prime power. We prove that a refined version of BrouÃ©'s abelian defect group conjecture holds for unipotent $ℓ$ -blocks of ${\rm GL}_n(q)…

Generic weights for finite reductive groups

Categorical action for finite classical groups and its applications: characteristic 0

Radical subgroups of finite reductive groups

Descent of splendid Rickard equivalences in GLn​(q)

Descent of splendid Rickard equivalences in $GL_{n} (q)$