Major Indices and Perfect Bases for Complex Reflection Groups
Combinatorics
2007-08-14 v1 Group Theory
Abstract
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.
Cite
@article{arxiv.0708.1675,
title = {Major Indices and Perfect Bases for Complex Reflection Groups},
author = {Robert Shwartz and Ron M. Adin and Yuval Roichman},
journal= {arXiv preprint arXiv:0708.1675},
year = {2007}
}