20 citations · 35 across the 6 of their papers we have counts for
16 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…
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.
Equidistribution and Sign-Balance on 321-Avoiding Permutations
Ron M. Adin, Yuval Roichman
Let be the set of 321-avoiding permutations of order . Two properties of are proved: (1) The {\em last descent} and {\em last index minus one} statistics are equidis…