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Rouquier blocks for Ariki-Koike algebras

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arxiv 2206.14720 v2 pith:NK5R4UBH submitted 2022-06-29 math.RT

Sinead Lyle This is my paper · ORCID
classification math.RT
keywords blocksalgebrasrouquierariki-koikemodulesspechtabacusbelong
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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

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  1. Faithful covers of Khovanov arc algebras

    math.RT 2024-11 conditional novelty 8.0 of 10

    The extended Khovanov arc algebra K^m_n is an (|n-m|-1)-faithful cover of the Khovanov arc algebra H^m_n.

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