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math.RT2007
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.
math.RT2007
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…