汇报标题 (Title)：Some new trends on the irreducible NIM Representation （不成约NIM暗示的一些新趋向）
汇报人 (Speaker)： 李立斌 教授（十堰大学）
汇报功夫 (Time)：2024年10月14日 (周一) 15:00-16:00
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：王卿文
主办部门：理学院数学系
汇报提要： The non-negative integer matrix (NIM) solutions of matrix equations are closely related to the NIM representations over fusion rings and the module categories over tensor categories. In this talk we shall introduce a general theory of irreducible NIM representations over near group fusion rings. We give the minimum upper the bound of rank of NIM representation over a near group fusion ring, and the general classification methods of irreducible NIM representations over near group fusion rings. We give explicitly the classifications of irreducible NIM representations over some near group fusion rings and introduce some new trends in this direction.
