Length functions for \(G(r,p,n)\) (Q2741041)
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scientific article; zbMATH DE number 1642294
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Length functions for \(G(r,p,n)\) |
scientific article; zbMATH DE number 1642294 |
Statements
28 May 2002
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length functions
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complex reflection groups
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root systems
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Poincaré polynomials
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Length functions for \(G(r,p,n)\) (English)
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A length function \(n(w)\) for the complex reflection group \(W=G(r,p,n)\) is constructed by making use of certain partitions of the root system associated to \(\widetilde W=G(r,1,n)\). It is shown that the function \(n(w)\) yields the Poincaré polynomial \(P_W(q)\). It is also given some characterization of this function in a way independent of the choice of the root system.NEWLINENEWLINEFor the entire collection see [Zbl 0963.00024].
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