Simple ${\mathfrak{sl}}_2$-modules that are torsion free $U(\mathfrak{h})$-modules of rank $1$

Dimitar Grantcharov, Libor Krizka, Volodymyr Mazorchuk

We provide an explicit classification of all simple ${\mathfrak{sl}}_2$-modules that are torsion free of rank $1$ over the Cartan subalgebra. We also establish a similar result for t…