Gelfand-Tsetlin modules of quantum gl_n$defined by admissible sets of relations
Representation Theory
2017-07-11 v1
Abstract
The purpose of this paper is to construct new families of irreducible Gelfand-Tsetlin modules for U_q(gl_n). These modules have arbitrary singularity and Gelfand-Tsetlin multiplicities bounded by 2. Most previously known irreducible modules had all Gelfand-Tsetlin multiplicities bounded by 1 \cite{FRZ1}, \cite{FRZ2}. In particular, our method works for q=1 providing new families of irreducible Gelfand-Tsetlin modules for gl_n. This generalizes the results of \cite{FGR3} and \cite{FRZ}.
Keywords
Cite
@article{arxiv.1707.02396,
title = {Gelfand-Tsetlin modules of quantum gl_n$defined by admissible sets of relations},
author = {Vyacheslav Futorny and Luis Enrique Ramirez and Jian Zhang},
journal= {arXiv preprint arXiv:1707.02396},
year = {2017}
}