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arXiv · 1704.01192

Explicit construction of irreducible modules for U_q(gl_n)

Vyacheslav Futorny·Luis Enrique Ramirez·Jian Zhang
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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.

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BibTeXRIS

Vyacheslav Futorny, Luis Enrique Ramirez, Jian Zhang. 2017-04-04. Explicit construction of irreducible modules for U_q(gl_n). https://arxiv.org/abs/1704.01192

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