Eight-dimensional symplectic non-solvable Lie algebras

2022/10/24 by T. Aït Aissa, Aissa, T. Aït, M. W. Mansouri +1 · 1 citation
Mathematics · #Advanced Topics in Algebra #Advanced Algebra and Geometry #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2210.13523

Abstract

In this paper, we classify eight-dimensional non-solvable Lie algebras that support a symplectic structure. As well as a complete classification is given, up to symplectomorphism, of eight-dimensional symplectic non-solvable Lie algebras.

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

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