Rouquier blocks for Ariki-Koike algebras

Lyle, Sinead (2025) Rouquier blocks for Ariki-Koike algebras. Documenta Mathematica. ISSN 1431-0643 (In Press)

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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.

Item Type:	Article
Uncontrolled Keywords:	ariki-koike algebras,rouquier blocks,rock blocks
Faculty \ School:	Faculty of Science > School of Engineering, Mathematics and Physics
UEA Research Groups:	Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Depositing User:	LivePure Connector
Date Deposited:	27 Oct 2025 12:30
Last Modified:	28 Oct 2025 12:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/100781
DOI:

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