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Core blocks for Hecke algebras of type B and sign sequences

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arxiv 2307.16319 v2 pith:NEJILNWM submitted 2023-07-30 math.RT

classification math.RT
keywords blockcorealgebrasblocksheckemodulestypealgebra
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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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  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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