A distinguished example of filiform deformation

2018/02/26 by Herrera-Granada, Joan Felipe, Tirao, Paulo, Vera, Sonia
#FOS: Mathematics #Primary 17B30 #Rings and Algebras (math.RA) #Secondary 17B99

paper · doi:10.48550/arxiv.1802.09432

Abstract

We exhibit an example of a filiform (complex) Lie algebra of dimension 13 with all its ideals of codimension 1 being characteristically nilpotent, and we construct a non trivial filiform deformation of it.

Related

• Degenerations to filiform Lie algebras of dimension 9
• Infinitesimal deformations of the model ℤ₃-filiform Lie algebra
• Nonfiliform characteristically nilpotent Lie algebras
• Filiform Lie algebras of dimension 8 as degenerations
• There are no rigid filiform Lie algebras of low dimension