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Restrictions of irreducible characters of finite groups of Lie type to derived subgroups and regular semisimple elements
Conghui Li
In this note, we formulate an observation that "almost all" irreducible ordinary characters of finite groups of Lie type remain irreducible when restricted to the derived subgroups…
Inductive blockwise Alperin weight condition for type B and odd primes
Zhicheng Feng, Conghui Li, Jiping Zhang
By the reduction theorems of Navarro--Tiep and Späth, a way to prove the Alperin weight conjecture and its blockwise version is to verify the co-called inductive Alperin weight con…
Equivariant correspondences and the inductive Alperin weight condition for type
Zhicheng Feng, Conghui Li, Jiping Zhang
In this paper, we establish the inductive Alperin weight condition for the finite simple groups of Lie type , contributing to the program to prove the Alperin weight con…
The inductive blockwise Alperin weight condition for PSp2n(q) and odd primes
Conghui Li
In this paper, using a criterion given by J. Brough and B. Spaeth recently, we verify the inductive blockwise Alperin weight condition for the simple groups PSp2n(q) and any odd pr…
An equivariant bijection between irreducible Brauer characters and weights for Sp(2n, q)
Conghui Li
The longstanding Alperin weight conjecture and its blockwise version have been reduced to simple groups recently by Navarro, Tiep, Spaeth and Koshitani. Thus, to prove this conject…