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arXiv:math/0002245 [math.CO]AbstractReferencesReviewsResources

The Flag Major Index and Group Actions on Polynomial Rings

Ron M. Adin, Yuval Roichman

Published 2000-02-28, updated 2000-11-05Version 2

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.

Comments: 23 pages, final form; to appear in the European Journal of Combinatorics
Categories: math.CO, math.RT
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