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Key contributions of symplectic structures on 6D Frobeniusian Lie algebras

Published on:

1 February 2024

Primary Category:

Symplectic Geometry

Paper Authors:

T. Aït Aissa,

S. Elbourkadi,

M. W. Mansouri

Bullets

Key Details

Classifies symplectic structures on 6D Frobeniusian solvable Lie algebras

Provides scheme to classify those with Lagrangian ideals

Completes classification by adding those without Lagrangian ideals

Identifies 47 algebras with Lagrangian ideals

Identifies 8 algebras without Lagrangian ideals

AI generated summary

Key contributions of symplectic structures on 6D Frobeniusian Lie algebras

This paper classifies symplectic structures on 6-dimensional Frobeniusian solvable Lie algebras, up to symplectomorphism. A scheme is provided to classify isomorphism classes where the exact form has a Lagrangian ideal. The classification is completed by considering algebras without Lagrangian ideals.

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