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.
|Number of pages||15|
|Journal||Advances in Applied Mathematics|
|State||Published - 2001|
Bibliographical noteFunding Information:
1Research of all authors was supported in part by the Israel Science Foundation, founded by the Israel Academy of Sciences and Humanities and by internal research grants from Bar–Ilan University.