Bazzoni, GiovanniMuñoz, Vicente2023-06-202023-06-2020120002-994710.1090/S0002-9947-2011-05471-1https://hdl.handle.net/20.500.14352/42375We give a classification of minimal algebras generated in degree 1, defined over any field k of characteristic different from 2, up to dimension 6. This recovers the classification of nilpotent Lie algebras over k up to dimension 6. In the case of a field k of characteristic zero, we obtain the classification of nilmanifolds of dimension less than or equal to 6, up to k-homotopy type. Finally, we determine which rational homotopy types of such nilmanifolds carry a symplectic structure.engjournal articlehttp://www.ams.org/journals/tran/2012-364-02/S0002-9947-2011-05471-1/S0002-9947-2011-05471-1.pdfhttp://www.ams.orgrestricted access5151.1Nilmanifoldsrational homotopyNilpotent Lie algebrasMinimal modelTopología1210 Topología