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- W2001225626 abstract "We give a classification of minimal algebras generated in degree $1$, defined over any field $mathbf {k}$ of characteristic different from $2$, up to dimension $6$. This recovers the classification of nilpotent Lie algebras over $mathbf {k}$ up to dimension $6$. In the case of a field $mathbf {k}$ of characteristic zero, we obtain the classification of nilmanifolds of dimension less than or equal to $6$, up to $mathbf {k}$-homotopy type. Finally, we determine which rational homotopy types of such nilmanifolds carry a symplectic structure." @default.
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- W2001225626 date "2012-02-01" @default.
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- W2001225626 title "Classification of minimal algebras over any field up to dimension $6$" @default.
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- W2001225626 doi "https://doi.org/10.1090/s0002-9947-2011-05471-1" @default.
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