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Home > Vol 26, No 1 (2007)

Matthew Fayers

University of London Queen Mary Mile End Road London E1 4NS UK

We examine blocks of the Ariki-Koike algebra, in an attempt to generalise the combinatorial representation theory of the Iwahori-Hecke algebra of type A. We identify a particular type of combinatorial block, which we call a core block, which may be viewed as an analogue of a simple block of the Iwahori-Hecke algebra. We give equivalent characterisations of core blocks and examine their basic combinatorics.

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