代数讨论班-p-divisibility of irreducible modular characters of a block
主 题: 代数讨论班-p-divisibility of irreducible modular characters of a block
报告人: Zongzhu Lin (Kansas State University)
时 间: 2017-06-02 14:00-15:00
地 点: 数学中心镜春园78201
Abstract: For a finite dimensional restricted Lie algebra over an algebraically closed field of positive characteristic $p$, Kac-Weisfeilar conjecture says that the highest power $p^a$ dividing the degrees of all irreducible representations in a block is closely related to the geometry of the central p-character under the coadjoint action of the automorphism group. In this talk I will discuss similar questions for finite groups and a few examples of the modular representations of finite groups of Lie type in the defining characteristic case. For general case in Lie type finite groups, this is closely related to Lusztig's character formula conjecture. The similar questions have been discussed for solvable groups by many others considering groups which have only one irreducible character with degree divisible by $p$.
