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arXiv · 1707.02396

Gelfand-Tsetlin modules of quantum gl_n$defined by admissible sets of relations

Vyacheslav Futorny·Luis Enrique Ramirez·Jian Zhang
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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}.

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BibTeXRIS

Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang. 2017-07-08. Gelfand-Tsetlin modules of quantum gl_n$defined by admissible sets of relations. https://arxiv.org/abs/1707.02396

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