Core blocks of Ariki–Koike algebras
نویسنده
چکیده
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.
منابع مشابه
Core blocks of Ariki–Koike algebras II: the weight of a core block
The study of the representation theory of the symmetric groups (and, more recently, the Iwahori–Hecke algebras of type A) has always been inextricably linked with the combinatorics of partitions. More recently, the complex reflection group of type G(r, 1, n) and its Hecke algebras (the Ariki–Koike algebras or cyclotomic Hecke algebras) have been studied, and it is clear that there is a similar ...
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