Explicit construction of irreducible modules for U_q(gl_n)
Representation Theory
2017-04-06 v1
Abstract
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.
Cite
@article{arxiv.1704.01192,
title = {Explicit construction of irreducible modules for U_q(gl_n)},
author = {Vyacheslav Futorny and Luis Enrique Ramirez and Jian Zhang},
journal= {arXiv preprint arXiv:1704.01192},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1611.07908