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
Published inarXiv.org
Main Authors T Aït Aissa, Elbourkadi, S, Mansouri, M W
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 01.02.2024
Subjects
Algebra
Classification
Isomorphism
Lie groups
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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.
ISSN:2331-8422