Simple $\mathfrak{sl}_2$-modules that are torsion free $U(\mathfrak{h})$-modules of rank $1$
Representation Theory
2026-03-05 v1
Abstract
We provide an explicit classification of all simple -modules that are torsion free of rank over the Cartan subalgebra. We also establish a similar result for the first Weyl algebra and for the Lie superalgebra .
Keywords
Cite
@article{arxiv.2603.04303,
title = {Simple $\mathfrak{sl}_2$-modules that are torsion free $U(\mathfrak{h})$-modules of rank $1$},
author = {Dimitar Grantcharov and Libor Krizka and Volodymyr Mazorchuk},
journal= {arXiv preprint arXiv:2603.04303},
year = {2026}
}