论文标题
rouquier块,用于ariki-koike代数
Rouquier blocks for Ariki-Koike algebras
论文作者
论文摘要
rouquier块,也称为岩石块,是对称组代数的重要块和A型的Hecke代数,其分区标记了属于这些块具有特定算盘构型的SpecHT模块。我们将rouquier块的定义概括为ariki-koike代数,其中Spepht模块由多阶数索引,并探索这些块的属性
The Rouquier blocks, also known as the RoCK blocks, are important blocks of the symmetric groups algebras and the Hecke algebras of type A, with the partitions labelling the Specht modules that belong to these blocks having a particular abacus configuration. We generalise the definition of Rouquier blocks to the Ariki-Koike algebras, where the Specht modules are indexed by multipartitions, and explore the properties of these blocks