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math.RT2025
Moving vectors and core blocks of Ariki-Koike algebras
Yanbo Li, Xiangyu Qi, Kai Meng Tan
We classify the core blocks of Ariki-Koike algebras by their moving vectors. Using this classification, we obtain a necessary and sufficient condition for Scopes equivalence betwee…
math.RT2025
Cores and weights of multipartitions and blocks of Ariki-Koike algebras
Yanbo Li, Kai Meng Tan
Let be an integer at least two. We define the -core and the -weight of a multipartition associated with a multicharge as the -core and the -weight of its image unde…