A distinguished example of filiform deformation

Joan Felipe Herrera-Granada; Paulo Tirao; Sonia Vera

doi:10.1142/S0219498820501686

A distinguished example of filiform deformation

Joan Felipe Herrera-Granada, Paulo Tirao^*, Sonia Vera

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We exhibit the first example of a non-rigid complex filiform Lie algebra with all its codimension 1 ideals being characteristically nilpotent by constructing an explicit nontrivial filiform deformation of it.

Original language	English
Article number	2050168
Journal	Journal of Algebra and its Applications
Volume	19
Issue number	9
DOIs	https://doi.org/10.1142/S0219498820501686
State	Published - 1 Sep 2020
Externally published	Yes

Keywords

Deformations of Lie algebras
filiform Lie algebras

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10.1142/S0219498820501686

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title = "A distinguished example of filiform deformation",

abstract = "We exhibit the first example of a non-rigid complex filiform Lie algebra with all its codimension 1 ideals being characteristically nilpotent by constructing an explicit nontrivial filiform deformation of it. ",

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A distinguished example of filiform deformation

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Keywords

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