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Core blocks of Ariki-Koike algebras II: the weight of a core block

2007/10/30 by Matthew Fayers, Fayers, Matthew
Mathematics · #05E10 #20C08 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT #msc:05E10 #msc:20C08

paper · pdf · doi:10.48550/arxiv.0710.5654

arxiv created 2007/10/30 · openalex publication_date 2007/10/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study combinatorial blocks of multipartitions, exploring further the notions of weight, hub and core block introduced by the author in earlier papers. We answer the question of which pairs (w,theta) occur as the weight and hub of a block, and we examine the action of the affine Weyl group on the set of blocks.

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