112 citations · 144 across the 22 of their papers we have counts for
5 papers · 1 filter
Six-dimensional nilpotent Lie algebras
Serena Cicalo, Willem A de Graaf, Csaba Schneider
We give a full classification of 6-dimensional nilpotent Lie algebras over an arbitrary field, including fields that are not algebraically closed and fields of characteristic~2. To…
Classification of nilpotent associative algebras of small dimension
Willem A. de Graaf
We classify nilpotent associative algebras of dimensions up to 4 over any field. This is done by constructing the nilpotent associative algebras as central extensions of algebras o…
Computations with reachable elements in simple Lie algebras
Willem de Graaf
We report on some computations with reachable elements in simple Lie algebras of exceptional type within the SLA package of GAP4. These computations confirm the classification of s…
Constructing semisimple subalgebras of semisimple Lie algebras
Willem A. de Graaf
Algorithms are described that help with obtaining a classification of the semisimple subalgebras of a given semisimple Lie algebra, up to linear equivalence. The algorithms have be…
Good index behaviour of -representations, I
Willem A. de Graaf, Oksana S. Yakimova
Let be an algebraic group with $q=\Lie Q$ and a -module. The index of is the minimal codimension of the -orbits in the dual space . There is a general inequa…