OIST Representation Theory Seminar
Date
2024年10月15日 (火) 15:00 〜 16:00
Location
L4F01 and online on Zoom
Description
Kai Meng Tan, National University of Singapore
Title: Cores and core blocks of Ariki-Koike algebras
Abstract: 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.
Zoom info can be found on the seminar webpage.
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