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

2024/02/01 by Aissa, T. Aït, Elbourkadi, S., Mansouri, M. W. · 1 citation
#17B30 #17B60 #53D05 #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2402.00605

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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• Eight-Dimensional Symplectic Nilpotent Lie Groups with Lagrangian Normal Subgroups: A Complete Classification

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