A distinguished example of filiform deformation
Joan Felipe Herrera-Granada, Paulo Tirao, Sonia Vera
TL;DR
This paper presents a specific 13-dimensional filiform complex Lie algebra with all codimension-1 ideals being characteristically nilpotent and demonstrates a non-trivial deformation of this algebra.
Contribution
It provides a unique example of a high-dimensional filiform Lie algebra with special nilpotency properties and constructs its non-trivial deformation.
Findings
Example of a 13-dimensional filiform Lie algebra with all codimension-1 ideals characteristically nilpotent
Construction of a non-trivial filiform deformation of this algebra
Insight into the structure and deformation theory of complex Lie algebras
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.
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