Major indices and perfect bases for complex reflection groups. (Q1010780)

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Major indices and perfect bases for complex reflection groups.
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    Major indices and perfect bases for complex reflection groups. (English)
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    7 April 2009
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    Summary: It is shown that, under mild conditions, a complex reflection group \(G(r,p,n)\) may be decomposed into a set-wise direct product of cyclic subgroups. This property is then used to extend the notion of major index and a corresponding Hilbert series identity to these and other closely related groups.
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    complex reflection groups
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    major index
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    Hilbert series
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