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math.CO2000
Descent Numbers and Major Indices for the Hyperoctahedral Group
Ron M. Adin, Francesco Brenti, Yuval Roichman
We introduce and study three new statistics on the hyperoctahedral group , and show that they give two generalizations of Carlitz's identity for the descent number and major…
math.CO2000
The Flag Major Index and Group Actions on Polynomial Rings
Ron M. Adin, Yuval Roichman
A new extension of the major index, defined in terms of Coxeter elements, is introduced. For the classical Weyl groups of type , it is equidistributed with length. For more gene…