13 citations · 13 across the 3 of their papers we have counts for
3 papers
math.CO2005
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…
math.CO2005★ 13 cited
On Degrees in the Hasse Diagram of the Strong Bruhat Order
Ron M. Adin, Yuval Roichman
For a permutation in the symmetric group let the {\it total degree} be its valency in the Hasse diagram of the strong Bruhat order on , and let the {\it down degree}…
math.RT2004
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…