On 3-dimensional complex Hom-Lie algebras

García-Delgado, R.; Salgado, G.; Sánchez-Valenzuela, O. A.

doi:10.48550/arxiv.1902.08569

Search citation statements

Order By: Relevance

Paper Sections

Select...

Others Classifications1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2019

Publication Types

Select...

Other2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(2 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…With respect to [18], there are also visible mistakes and redundancies in the classification obtained there. By way of example, in [18,Proposition 4.3], it is easily seen that the given twisting maps are far from being canonical forms for the different hom-Lie structures on sl(2, C). For instance, for any In the third case, a true canonical form could be…”

Section: Others Classificationsmentioning

confidence: 96%

On the classification of $3$-dimensional complex hom-Lie algebras

Fernández-Culma¹,

Rojas²

2019

Preprint

View full text Add to dashboard Cite

We classify hom-Lie structures with nilpotent twisting map on 3dimensional complex Lie algebras, up to isomorphism, and classify all degenerations in such family. The ideas and techniques presented here can be easily extrapolated to study similar problems in other algebraic structures and provide different perspectives from where one can tackle classical open problems of interest in rigid Lie algebras.

show abstract

Section: Others Classificationsmentioning

confidence: 96%

On the classification of $3$-dimensional complex hom-Lie algebras

Fernández-Culma¹,

Rojas²

2019

Preprint

View full text Add to dashboard Cite

show abstract

“…Recently, Xie-Jin-Liu [13] and Makhlouf-Zusmanovich [9] gave proofs to this claim in terms of different ways. For the study of 3-dimensional Hom-Lie algebras, see [5] and [10].…”

mentioning

confidence: 99%