20 citations · 38 across the 9 of their papers we have counts for
17 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…
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}…
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…
Statistics on Wreath Products and Generalized Binomial-Stirling Numbers
Amitai Regev, Yuval Roichman
Various statistics on wreath products are defined via canonical words, "colored" right to left minima and "colored" descents. It is shown that refined counts with respect to these…
Signed Mahonians
Ron M. Adin, Ira M. Gessel, Yuval Roichman
A classical result of MacMahon gives a simple product formula for the generating function of major index over the symmetric group. A similar factorial-type product formula for the…
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.