Abstract
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 language | English |
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Pages (from-to) | 210-224 |
Number of pages | 15 |
Journal | Advances in Applied Mathematics |
Volume | 27 |
Issue number | 2-3 |
DOIs | |
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 | Funder number |
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Ilan University | |
Israel Academy of Sciences and Humanities | |
Israel Science Foundation |