Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4650685 | Discrete Mathematics | 2008 | 16 Pages |
Abstract
A multivariate generating function involving the descent, major index, and inversion statistic first given by Ira Gessel is generalized to other permutation groups. We provide generating functions for variants of these three statistics for the Weyl groups of type B and D, wreath product groups, and multiples of permutations. All of our ideas are combinatorial in nature and exploit fundamental relationships between the elementary and homogeneous symmetric functions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Anthony Mendes, Jeffrey Remmel,