RT Journal Article
T1 Classification of minimal algebras over any field up to dimension 6.
A1 Bazzoni, Giovanni
A1 Muñoz, Vicente
AB 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.
PB American Mathematical Society
SN 0002-9947
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/42375
UL https://hdl.handle.net/20.500.14352/42375
LA eng
NO MICINN
DS Docta Complutense
RD 8 abr 2025