Article ID Journal Published Year Pages File Type
4587914 Journal of Algebra 2007 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory