Major Indices and Perfect Bases for Complex Reflection Groups

  • Robert Shwartz
  • Ron M. Adin
  • Yuval Roichman

Abstract

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.

Published
2008-04-18
Article Number
R61