Descent numbers and major indices for the hyperoctahedral group

Ron M. Adin, Francesco Brenti, Yuval Roichman

Research output: Contribution to journalArticlepeer-review

71 Scopus citations


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.

Original languageEnglish
Pages (from-to)210-224
Number of pages15
JournalAdvances in Applied Mathematics
Issue number2-3
StatePublished - 2001

Bibliographical note

Funding 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.


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