Gelfand-Tsetlin modules of quantum gln$defined by admissible sets of relations
Abstract
The purpose of this paper is to construct new families of irreducible Gelfand-Tsetlin modules for Uq(gln). These modules have arbitrary singularity and Gelfand-Tsetlin multiplicities bounded by 2. Most previously known irreducible modules had all Gelfand-Tsetlin multiplicities bounded by 1 FRZ1, FRZ2. In particular, our method works for q=1 providing new families of irreducible Gelfand-Tsetlin modules for gln. This generalizes the results of FGR3 and FRZ.
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