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The Flag Major Index and Group Actions on Polynomial Rings

Ron M. Adin·Yuval Roichman
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Abstract

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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Ron M. Adin, Yuval Roichman. 2000-11-05. The Flag Major Index and Group Actions on Polynomial Rings. https://arxiv.org/abs/math/0002245

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