On solvable complete symplectic Lie algebras

2024/06/26 by Meryem Benyoussef, Benyoussef, M., M. W. Mansouri +3
Mathematics · #16W25 #17B05 #17B30 #17B60 #53D05 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2406.18773

openalex publication_date 2024/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we are interested in solvable complete Lie algebras, over the field \K=\R or ℂ, which admit a symplectic structure. Specifically, important classes are studied, and a description of complete Lie Algebra with the dimension of nilradical less or equal than six, which supported symplectic structure is given.

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