Descent numbers and major indices for the hyperoctahedral group

Authors
Adinh, RM Brenti, F Roichman, Y
Citation
Rm. Adinh et al., Descent numbers and major indices for the hyperoctahedral group, ADV APPL MA, 27(2-3), 2001, pp. 210-224
Citations number
21
Categorie Soggetti
Mathematics
Journal title
ADVANCES IN APPLIED MATHEMATICS
ISSN journal
01968858 → ACNP
Volume
27
Issue
2-3
Year of publication
2001
Pages
210 - 224
Database
ISI
SICI code
0196-8858(200108/10)27:2-3<210:DNAMIF>2.0.ZU;2-C
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. (C) 2001 Academic Press.