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

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

2007-10-30

arxiv.org/abs/0710.5654v1

Mathematics

Combinatorics

Scientific paper

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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