Major Indices and Perfect Bases for Complex Reflection Groups

Details Major Indices and Perfect Bases for Complex Reflection Groups Major Indices and Perfect Bases for Complex Reflection Groups

2007-08-13

arxiv.org/abs/0708.1675v1

Mathematics

Combinatorics

Scientific paper

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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