Classification of minimal algebras over any field up to dimension $6$
Classification of minimal algebras over any field up to dimension $6$
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 …