20 citations · 35 across the 6 of their papers we have counts for
11 papers · 1 filter
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}…
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…
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…
Rim Hook Tableaux and Kostant's -Function Coefficients
Ron M. Adin, Avital Frumkin
Using a 0/1 encoding of Young diagrams and its consequences for rim hook tableaux, we prove a reduction formula of Littlewood for arbitrary characters of the symmetric group, evalu…
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…