A complete classification of symplectic forms on six-dimensional Frobeniusian real Lie algebras

In this paper, we give a complete classification of symplectic structures on six-dimensional Frobeniusian solvable Lie algebras, up to symplectomorphism. We provide a scheme to classify the isomorphism classes of six-dimensional Frobeniusian solvable Lie algebras whose exact form has a Lagrangian id...

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Bibliographic Details
Main Authors Aissa, T. Aït, Elbourkadi, S, Mansouri, M. W
Format Journal Article
LanguageEnglish
Published 01.02.2024
Subjects
Mathematics - Symplectic Geometry
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Summary:In this paper, we give a complete classification of symplectic structures on six-dimensional Frobeniusian solvable Lie algebras, up to symplectomorphism. We provide a scheme to classify the isomorphism classes of six-dimensional Frobeniusian solvable Lie algebras whose exact form has a Lagrangian ideal. We complete our classification by considering Frobeniusian solvable Lie algebras without Lagrangian ideal.
DOI:10.48550/arxiv.2402.00605