20 citations · 38 across the 9 of their papers we have counts for
4 papers · 1 filter
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.
q Statistics on and Pattern Avoidance
Amitai Regev, Yuval Roichman
Natural q analogues of classical statistics on the symmetric groups are introduced; parameters like: the q-length, the q-inversion number, the q-descent number and the q-majo…
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…
Permutation Statistics on the Alternating Group
Amitai Regev, Yuval Roichman
Let denote the alternating and the symmetric groups on . MacMahaon's theorem, about the equi-distribution of the length and the major indices in ,…