20 citations · 45 across the 15 of their papers we have counts for
4 papers · 1 filter
Combinatorial Gelfand Models
Ron M. Adin, Alexander Postnikov, Yuval Roichman
A combinatorial construction of a Gelafand model for the symmetric group and its Iwahori-Hecke algebra is presented.
Major Indices and Perfect Bases for Complex Reflection Groups
Robert Shwartz, Ron M. Adin, Yuval Roichman
It is shown that, under mild conditions, a complex reflection group may be decomposed into a set-wise direct product of cyclic subgroups. This property is then used to e…
The Combinatorics of the Garsia-Haiman Modules for Hook Shapes
Ron M. Adin, Jeffrey B. Remmel, Yuval Roichman
Several bases of the Garsia-Haiman modules for hook shapes are given, as well as combinatorial decomposition rules for these modules. These bases and rules extend the classical one…
Alternating subgroups of Coxeter groups
Francesco Brenti, Victor Reiner, Yuval Roichman
We study combinatorial properties of the alternating subgroup of a Coxeter group, using a presentation of it due to Bourbaki.