Descent Numbers and Major Indices for the Hyperoctahedral Group
Combinatorics
2007-05-23 v1
Abstract
We introduce and study three new statistics on the hyperoctahedral group , and show that they give two generalizations of Carlitz's identity for the descent number and major index over . This answers a question posed by Foata.
Cite
@article{arxiv.math/0012111,
title = {Descent Numbers and Major Indices for the Hyperoctahedral Group},
author = {Ron M. Adin and Francesco Brenti and Yuval Roichman},
journal= {arXiv preprint arXiv:math/0012111},
year = {2007}
}
Comments
16 pages