Descent Numbers and Major Indices for the Hyperoctahedral Group

@inproceedings{Adin2008DescentNA,
  title={Descent Numbers and Major Indices for the Hyperoctahedral Group},
  author={Ron M. Adin and Yuval Roichman},
  year={2008}
}
We introduce and study three new statistics on the hyperoctahedral group Bn, and show that they give two generalizations of Carlitz’s identity for the descent number and major index over Sn. This answers a question posed by Foata. 
Highly Influential
This paper has highly influenced a number of papers. REVIEW HIGHLY INFLUENTIAL CITATIONS