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.
| Original language | English |
|---|---|
| Pages (from-to) | 431-446 |
| Number of pages | 16 |
| Journal | European Journal of Combinatorics |
| Volume | 22 |
| Issue number | 4 |
| DOIs | |
| State | Published - May 2001 |
Bibliographical note
Funding Information:Thanks to Richard Stanley, Dominique Foata, Christian Krattenthaler, Igor Pak and Victor Reiner for their comments. Both authors were supported in part by the Israel Science Foundation and by internal research grants from Bar-Ilan University.