41 citations · 96 across the 16 of their papers we have counts for
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Gelfand-Tsetlin modules of quantum gl_n$defined by admissible sets of relations
Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang
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 multiplici…
Explicit construction of irreducible modules for U_q(gl_n)
Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang
We construct new families of U_q(gl_n)-modules by continuation from finite dimensional representations. Each such module is associated with a combinatorial object - admissible set…
Drinfeld category and the classification of singular Gelfand-Tsetlin gl_n-modules
Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez
We prove a uniqueness theorem for irreducible non-critical Gelfand-Tsetlin modules. The uniqueness result leads to a complete classification of the irreducible Gelfand-Tsetlin modu…