On induced modules over strongly group-graded algebras (Q1567457)
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scientific article; zbMATH DE number 1460285
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On induced modules over strongly group-graded algebras |
scientific article; zbMATH DE number 1460285 |
Statements
On induced modules over strongly group-graded algebras (English)
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18 June 2000
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If \(G\) is a group, \(R\) a commutative and unitary ring, and \(\Lambda\) a strongly graded \(R\)-algebra, then the induced representations of \(\Lambda\) are studied in the case \(\Lambda\) is Artinian, or is an \(R\)-order and \(R\) is a complete discrete valuation ring. The Clifford theory relative to a subgroup of \(G\) of finite index is also studied.
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strongly graded algebras
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Clifford theory
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induced representations
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induced modules
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orders
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Artinian rings
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