Quantum affine modules for non-twisted affine Kac-Moody algebras
V. Futorny, J. T. Hartwig, E. A. Wilson
TL;DR
This paper constructs new irreducible weight modules over quantum affine algebras of type I, featuring all infinite-dimensional weight spaces, by inducing from modules over the Heisenberg subalgebra, advancing the understanding of quantum affine module structures.
Contribution
It introduces a novel method for constructing irreducible modules over quantum affine algebras using parabolic induction from Heisenberg subalgebra modules.
Findings
All constructed modules have infinite-dimensional weight spaces.
The modules are irreducible and obtained via parabolic induction.
The approach broadens the class of known quantum affine modules.
Abstract
We construct new irreducible weight modules over quantum affine algebras of type I with all weight spaces infinite-dimensional. These modules are obtained by parabolic induction from irreducible modules over the Heisenberg subalgebra.
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