On the structure of induced modules and tensor induction for group representations. (Q833477)
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scientific article; zbMATH DE number 5595157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the structure of induced modules and tensor induction for group representations. |
scientific article; zbMATH DE number 5595157 |
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On the structure of induced modules and tensor induction for group representations. (English)
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13 August 2009
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Summary: Let \(V\) be a simple module for a finite group \(G\), over a finite field \(F\), and let \(H\) be a subgroup of \(G\). Assuming that \(V\) is induced by an \(FH\)-module, we investigate some aspects of the structure of \(V\) viewed as a module for \(H\). This kind of analysis turns out to play a central role in a problem concerning tensor induction for representations of finite groups.
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representations of finite groups
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tensor factorizations
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tensor induction
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restrictions of representations
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induction of representations
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simple modules
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induced modules
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