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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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.