%0 Journal Article
%A Bazzoni, Giovanni
%A Muñoz, Vicente
%T Classification of minimal algebras over any field up to dimension 6.
%D 2012
%@ 0002-9947
%U https://hdl.handle.net/20.500.14352/42375
%X We 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.
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