Reduced words and a length function for \(G(e,1,n)\) (Q1384932)
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scientific article; zbMATH DE number 1143559
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reduced words and a length function for \(G(e,1,n)\) |
scientific article; zbMATH DE number 1143559 |
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Reduced words and a length function for \(G(e,1,n)\) (English)
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14 April 1999
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Normal forms of elements of the imprimitive complex reflection group \(G(e,1,n)\) are studied. A conjecture of Broué on basis elements and the canonical symmetrizing form of the associated cyclotomic Hecke algebra is proved. Then a root system in the group is introduced and the associated length function is studied. It is similar to the usual length function for finite Weyl groups.
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complex reflection groups
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normal forms
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cyclotomic Hecke algebras
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root systems
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length functions
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Weyl groups
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