Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587914 | Journal of Algebra | 2007 | 12 Pages |
Abstract
We give a modular branching rule for certain wreath products as a generalization of Kleshchev's modular branching rule for the symmetric groups. Our result contains a modular branching rule for the complex reflection groups G(m,1,n), which are often called the generalized symmetric groups, in splitting fields for Z/mZ. Especially for m=2, which is the case of the Weyl groups of type B, we can give a modular branching rule in any field.
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