Cores and core blocks of Ariki-Koike algebras
数学专题报告
报告题目(Title)：Cores and core blocks of Ariki-Koike algebras
报告人(Speaker)：Kai Meng Tan (新加坡国立大学)
地点(Place)：后主楼1124
时间(Time)：9月13日(星期五), 16:00-17:00 地点：后主楼1124
邀请人(Inviter)：胡维
报告摘要
This talk will consist of two parts. In the first part, we will see how certain results (such as the Nakayama ‘Conjecture) for the symmetric groups and Iwahori-Hecke algebras of type A can be generalised to Ariki-Koike algebras using the map from the set of multipartitions to that of (single) partitions first defined by Uglov. In the second part, we look at Fayers’s core blocks, and see how these blocks may be classified using the notation of moving vectors first introduced by Yanbo Li and Xiangyu Qi. If time allows, we will discuss Scopes equivalences between these blocks arising as a consequence of this classification.
