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

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arxiv 2402.00605 v1 pith:EJK22MKA submitted 2024-02-01 math.SG

classification math.SG
keywords algebrasfrobeniusianclassificationcompletesix-dimensionalsolvableideallagrangian
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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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