Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang
Published 2017-04-04Version 1
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 of relations defined in \cite{FRZ}. More precisely, we prove that any admissible set of relations leads to a family of irreducible U_q(gl_n)-modules. Finite dimensional and generic modules are particular cases of this construction.
Comments: arXiv admin note: text overlap with arXiv:1611.07908
Finite dimensional representations of W-algebras
Top-stable degenerations of finite dimensional representations II
Classification of irreducible modules over gap-$p$ Virasoro algebras
![QR code for arXiv:1704.01192 [math.RT]](http://oss.arxitics.com/images/favicon.svg)