Rouquier blocks for Ariki-Koike algebras
Representation Theory
2023-08-01 v2
Abstract
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
Cite
@article{arxiv.2206.14720,
title = {Rouquier blocks for Ariki-Koike algebras},
author = {Sinead Lyle},
journal= {arXiv preprint arXiv:2206.14720},
year = {2023}
}
Comments
19 pages