4 citations · 9 across the 5 of their papers we have counts for
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The Veronese Construction for Formal Power Series and Graded Algebras
Francesco Brenti, Volkmar Welker
Let be a sequence of complex numbers such that its generating series satisfies for some polynomial . For an…
Alternating subgroups of Coxeter groups
Francesco Brenti, Victor Reiner, Yuval Roichman
We study combinatorial properties of the alternating subgroup of a Coxeter group, using a presentation of it due to Bourbaki.
Equi-distribution over Descent Classes of the Hyperoctahedral Group
R. M. Adin, F. Brenti, Y. Roichman
A classical result of MacMahon shows that the length function and the major index are equi-distributed over the symmetric group. Foata and Schützenberger gave a remarkable refineme…
Descent Representations and Multivariate Statistics
Ron M. Adin, Francesco Brenti, Yuval Roichman
Combinatorial identities on Weyl groups of types and are derived from special bases of the corresponding coinvariant algebras. Using the Garsia-Stanton descent basis of the…
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…