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Core blocks for Hecke algebras of type B and sign sequences

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abstract

We consider the core blocks corresponding to the Hecke algebras of type B over a field of arbitrary characteristic. To each core block B, we associate two non-negative integers which determine the indexing of the Specht modules and simple modules in the block, the weight of the block, the multicharge of the algebra (up to a shift) and the block decomposition matrix.

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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 23 · 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.