The number of simple modules of the Hecke algebras of type \(G(r,1,n)\) (Q1974154)
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scientific article; zbMATH DE number 1441743
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of simple modules of the Hecke algebras of type \(G(r,1,n)\) |
scientific article; zbMATH DE number 1441743 |
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The number of simple modules of the Hecke algebras of type \(G(r,1,n)\) (English)
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3 December 2000
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This paper classifies the simple modules of the cyclotomic Hecke algebras of type \(G(r,1,n)\) and the affine Hecke algebras of type \(A\) in arbitrary characteristic. We do this by first showing that the simple modules of the cyclotomic Hecke algebras are indexed by the set of ``Kleshchev multipartitions''.
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Kleshchev multipartitions
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simple modules
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cyclotomic Hecke algebras
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affine Hecke algebras
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