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arXiv · 2606.19028

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules

Volodymyr Mazorchuk·Shuoyang Xu
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Abstract

We give an explicit classification as well as an explicit construction of simple $\mathfrak{sl}_2$-modules that are torsion-free of finite rank with respect to the action of the Cartan subalgebra and which admit a grading by a finite cyclic group corresponding to the rank of the module.

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Volodymyr Mazorchuk, Shuoyang Xu. 2026-06-17. Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules. https://arxiv.org/abs/2606.19028

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