algebraic cone; monoid action; group action; orbit; action with unique fixed point; algebra automorphism; stable ideal; irreducible algebraic variety complex finite-dimensional Lie algebra; generic point; variety of structure constants; algebraic affine variety; irreducible components; nilpotent Lie algebras; \({bbfZ}_ 2\)-Eilenberg-MacLane spectrum; bo- essential complex; Brown-Gitler spectrum; bounded torsion theorem; geometric dimension of vector bundles; \(E_ 2\)-term 