Article ID Journal Published Year Pages File Type
4668123 Advances in Mathematics 2006 33 Pages PDF
Abstract

We consider representations of the Ariki–Koike algebra, a q-deformation of the group algebra of the complex reflection group Cr≀Sn. The representations of this algebra are naturally indexed by multipartitions of n, and for each multipartition λ we define a non-negative integer called the weight of λ. We prove some basic properties of this weight function, and examine blocks of small weight.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)