汇报标题 (Title)：On unitriangular decomposition matrices（关于单元三角分化矩阵）
汇报人 (Speaker)： 冯致程 副钻研员（南方科技大学）
汇报功夫 (Time)：2023年9月27日(周三) 9:00
汇报地址 (Place)：腾讯会议：116851262
约请人(Inviter)：孟沆洋
主办部门：理学院数学系
汇报提要：Irreducible representations of finite groups over fields of positive characteristic, or equivalently irreducible Brauer characters, make a quite difficult subject. Most of the problems and results can be studied via the decomposition matrix relating the set of irreducible Brauer characters in characteristic to the better understood set of ordinary characters. Many decomposition matrices of finite groups enjoy the property of so-called unitriangularity. We will talk about the unitriangular basic sets, especially for finite reductive groups in non-defining characteristic, as well as some applications. This is a joint work with Britta Sp?th.
