Descent numbers and major indices for the hyperoctahedral group

Ron M. Adin; Francesco Brenti; Yuval Roichman

doi:10.1006/aama.2001.0731

Descent numbers and major indices for the hyperoctahedral group

Ron M. Adin
, Francesco Brenti
, Yuval Roichman

Department of Mathematics

University of Rome Tor Vergata

Research output: Contribution to journal › Article › peer-review

84 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	210-224
Number of pages	15
Journal	Advances in Applied Mathematics
Volume	27
Issue number	2-3
DOIs	https://doi.org/10.1006/aama.2001.0731
State	Published - 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.

Funding

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.

Funders
Ilan University
Israel Academy of Sciences and Humanities
Israel Science Foundation

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10.1006/aama.2001.0731

Cite this

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Descent numbers and major indices for the hyperoctahedral group

Abstract

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