Descent Numbers and Major Indices for the Hyperoctahedral Group

Details Descent Numbers and Major Indices for the Hyperoctahedral Group Descent Numbers and Major Indices for the Hyperoctahedral Group

2000-12-14

arxiv.org/abs/math/0012111v1

Mathematics

Combinatorics

16 pages

Scientific paper

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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