The authors describe U(h)-free finite-rank sl(2)-modules, identify their coherent families, give recursive socle filtrations for Jordan-block indecomposables, and obtain simplicity criteria for Weyl-algebra exponential modules.
Lifting free modules to generalized Weyl algebras
2 Pith papers cite this work. Polarity classification is still indexing.
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Explicit classification and construction of simple gradable C[h]-torsion-free finite-rank sl_2-modules.
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On $U(\mathfrak{h})$-free modules of finite rank over $\mathfrak{sl}(2)$
The authors describe U(h)-free finite-rank sl(2)-modules, identify their coherent families, give recursive socle filtrations for Jordan-block indecomposables, and obtain simplicity criteria for Weyl-algebra exponential modules.
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Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules
Explicit classification and construction of simple gradable C[h]-torsion-free finite-rank sl_2-modules.