Major indices and perfect bases for complex reflection groups
arXiv preprint arXiv:0708.1675, 2007•arxiv.org
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.
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.
It is shown that, under mild conditions, a complex reflection group 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.
arxiv.org
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