2000/04/04 by Richard Dipper, Dipper, Richard, Andrew Mathas +1 · 3 citations
Mathematics · #16G99 #20C20 #20G05 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT #msc:16G99 #msc:20C20 #msc:20G05
paper · pdf · doi:10.48550/arxiv.math/0004014
LaTeX 2e file. 30 pages. Submitted for publication
arxiv created 2000/04/04 · openalex publication_date 2000/04/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that every Ariki-Koike algebra is Morita equivalent to a direct sum of tensor products of smaller Ariki-Koike algebras which have q-connected parameter sets. A similar result is proved for the cyclotomic q-Schur algebras. Combining our results with work of Ariki and Uglov, the decomposition numbers for the Ariki-Koike algebras defined over fields of characteristic zero are now known in principle.