The Flag Major Index and Group Actions on Polynomial Rings
Combinatorics
2007-05-23 v2 Representation Theory
Abstract
A new extension of the major index, defined in terms of Coxeter elements, is introduced. For the classical Weyl groups of type , 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.
Keywords
Cite
@article{arxiv.math/0002245,
title = {The Flag Major Index and Group Actions on Polynomial Rings},
author = {Ron M. Adin and Yuval Roichman},
journal= {arXiv preprint arXiv:math/0002245},
year = {2007}
}
Comments
23 pages, final form; to appear in the European Journal of Combinatorics