A modular branching rule for the generalized symmetric groups

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dc.creatorTsuchioka, Shunsuke
dc.date2006-10-03
dc.date.accessioned2026-07-07T07:28:37Z
dc.date.available2026-07-07T07:28:37Z
dc.descriptionWe 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 $\mathbb{Z}/m\mathbb{Z}$. 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. Our proof is elementary in that it is essentially a combination of Frobenius reciprocity, Mackey theorem, Clifford's theory and Kleshchev's modular branching rule.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0610101
dc.identifierhttp://arxiv.org/abs/math/0610101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117801
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleA modular branching rule for the generalized symmetric groups
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