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math.RT2017★ 1 cited
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…
math.RT2017
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…