Descent Numbers and Major Indices for the Hyperoctahedral Group

@article{Adin2000DescentNA,
  title={Descent Numbers and Major Indices for the Hyperoctahedral Group},
  author={Ron M. Adin and Francesco Brenti and Yuval Roichman},
  journal={Adv. Appl. Math.},
  year={2000},
  volume={27},
  pages={210-224}
}
We introduce and study three new statistics on the hyperoctahedral group B"n and show that they give two generalizations of Carlitz's identity for the descent number and major index over S"n. This answers a question posed by Foata. 

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