2 citations · 2 across the 3 of their papers we have counts for
6 papers
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…
A Construction of Coxeter Group Representations (II)
Ron M. Adin, Francesco Brenti, Yuval Roichman
An axiomatic approach to the representation theory of Coxeter groups and their Hecke algebras was presented in [1]. Combinatorial aspects of this construction are studied in this p…
A Unified Construction of Coxeter Group Representations (I)
Ron M. Adin, Francesco Brenti, Yuval Roichman
An elementary approach to the construction of Coxeter group representations is presented.
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…
Mixed Bruhat operators and Yang-Baxter equations for Weyl groups
Francesco Brenti, Sergey Fomin, Alexander Postnikov
We introduce and study a family of operators which act in the span of a Weyl group and provide a multi-parameter solution to the quantum Yang-Baxter equations of the correspond…