DEGENERATIONS OF 7-DIMENSIONAL NILPOTENT LIE ALGEBRAS
DEGENERATIONS OF 7-DIMENSIONAL NILPOTENT LIE ALGEBRAS
ABSTRACT We study the varieties of Lie algebra laws and their subvarieties of nilpotent Lie algebra laws. We classify all degenerations of (almost all) five-step and six-step nilpotent seven-dimensional complex Lie algebras. One of the main tools is the use of trivial and adjoint cohomology of these algebras. In addition, …