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arXiv · 2402.00605

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

T. Aït Aissa·S. Elbourkadi·M. W. Mansouri
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Abstract

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.

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T. Aït Aissa, S. Elbourkadi, M. W. Mansouri. 2024-02-01. A complete classification of symplectic forms on six-dimensional Frobeniusian real Lie algebras. https://arxiv.org/abs/2402.00605

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