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Plaza Martín, Francisco José Tejero Prieto, Tomás Carlos 2024-08-27T11:02:32Z 2024-08-27T11:02:32Z 2017 F.J. Plaza Martín, C. Tejero Prieto, Construction of simple non-weight sl(2)-modules of arbitrary rank, Journal of Algebra, Volume 472, 2017, Pages 172-194, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2016.10.012. (https://www.sciencedirect.com/science/article/pii/S0021869316303714) 0021-8693 http://hdl.handle.net/10366/159336 10.1016/j.jalgebra.2016.10.012 [EN]We study simple non-weight sl(2)-modules which are finitely generated as C[z]-modules. We show that they are described in terms of semilinear endomorphisms and prove that the Smith type induces a stratification on the set of these sl(2)-modules, providing thus new invariants. Moreover, we show that there is a notion of duality for these type of sl(2)-modules. Finally, we show that there are simple non-weight sl(2)-modules of arbitrary rank by constructing a whole new family of them. eng info:eu-repo/semantics/openAccess sl(2)-representations Simple modules Non-weight modules Construction of simple non-weight sl(2)-modules of arbitrary rank info:eu-repo/semantics/article