The Flag Major Index and Group Actions on Polynomial Rings

Details The Flag Major Index and Group Actions on Polynomial Rings The Flag Major Index and Group Actions on Polynomial Rings

2000-02-28

arxiv.org/abs/math/0002245v2

Mathematics

Combinatorics

23 pages, final form; to appear in the European Journal of Combinatorics

Scientific paper

A new extension of the major index, defined in terms of Coxeter elements, is
introduced. For the classical Weyl groups of type $B$, it is equidistributed
with length. For more general wreath products it appears in an explicit formula
for the Hilbert series of the (diagonal action) invariant algebra.

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