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Rouquier blocks for Ariki-Koike algebras

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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

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2024 1

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Faithful covers of Khovanov arc algebras

math.RT · 2024-11-24 · conditional · novelty 8.0

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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  • Faithful covers of Khovanov arc algebras math.RT · 2024-11-24 · conditional · none · ref 22 · internal anchor

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