中国科学院数学与系统科学研究院
数学研究所
学术报告
表示论研讨班
Speaker: 李彦博 副教授（东北大学秦皇岛分校）
Title: Semi-simplicity of Temperley-Lieb algebras of type D
Language: Chinese
Time & Venue:2024年9月23日星期一上午9:00-10:00 数学院思源楼S817
Abstract:In this talk, we first recall the definitions of Temperley-Lieb algebras and some of their generalizations. Then we provide a necessary and sufficient
condition for a type D Temperley-Lieb algebra being semi-simple by using the theory of cellular algebras.
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Speaker: KaiMeng Tan 教授 (新加坡国立大学）
Title: Cores and core blocks of Ariki-Koike algebras
Language: English
Time & Venue:2024年9月23日星期一上午10:10-11:10 数学院思源楼S817
Abstract:This talk will consist of two parts. In the first part, we will see how certain results (such as the Nakayama's 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.
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