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The Lie algebra stabilizers of the forms from Table 1 can easily be computed
by solving the linear equation
for
.
They are explicitly given below as linear subspaces of
.
The commutator subalgebra
is perfect of dimension 3.
The radical of
equals its center
and is
.
This Lie algebra is solvable.
has dimension 2. Its center is 2-dimensional;
its nilpotent radical is 4-dimensional.
The commutator subalgebra
is abelian of dimension 3 and so
is solvable. Its center is
.
Its nilpotent radical is 4-dimensional.
This Lie algebra is solvable.
Its nilpotent radical is 4-dimensional.
Its center is
.
The solvable radical of this Lie algebra is
7-dimensional.
There is a 3-dimensional Levi subalgebra.
The center is
.

Contents
Next: Group stabilizers
Up: Stabilizers
Previous: Stabilizers