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Morita equivalences of Ariki-Koike algebras | | Richard Dipper
; Andrew Mathas
; | | Date: |
4 Apr 2000 | | Subject: | Representation Theory; Combinatorics MSC-class: 16G99, 20C20, 20G05 | math.RT math.CO | | Abstract: | 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. | | Source: | arXiv, math.RT/0004014 | | Services: | Forum | Review | PDF | Favorites | |
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