Major Indices and Perfect Bases for Complex Reflection Groups

نویسندگان

  • Robert Shwartz
  • Ron M. Adin
  • Yuval Roichman
چکیده

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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عنوان ژورنال:
  • Electr. J. Comb.

دوره 15  شماره 

صفحات  -

تاریخ انتشار 2008