A note on the classification of naturally graded Lie algebras with linear characteristic sequence
For sufficiently high dimensions, the naturally graded nonsplit nilpotent Lie algebras with linear characteristic sequence are classified.
math.RA↗
arXiv subjects
Rutwig Campoamor
Publications and source records attributed to Rutwig Campoamor.
On the product by generators of characteristically nilpotent Lie S-algebras
We introduce the product by generators of complex nilpotent Lie algebras, which is a commutative product obtained from a central extension of the direct sum of Lie algebras. We show that the product preserves also the characteristic nilpotence provided that the multiplied algebras are $S$-algebras. In particular, this shows the existence of nonsplit characteristically nilpotent Lie algebras $\frak{h}$ such that the quotient $\frac{\dim \frak{h}-\dim Z(\frak{h})}{\dim Z(\frak{h})} $ is as small as wanted.
math.RA↗