Symplectic Forms on Six-dimensional Real Solvable Lie Algebras I

Author:

Campoamor-Stursberg Rutwig1

Affiliation:

1. Departamento de Geometría y Topología, Facultad CC. Matemáticas U.C.M, E-28040 Madrid, Spain

Abstract

We analyze symplectic forms on six-dimensional real solvable and non-nilpotent Lie algebras. More precisely, we obtain all those algebras endowed with a symplectic form that decompose as the direct sum of two ideals or are indecomposable solvable algebras with a four-dimensional nilradical.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Double extensions of left-symmetric structures;Communications in Algebra;2024-04-26

2. Eight-dimensional symplectic non-solvable Lie algebras;Communications in Algebra;2023-09-27

3. Para-Kahler and Para-Hermitian Structures on Six-Dimensional Unsolvable Lie Algebras;Izvestiya of Altai State University;2023-09-14

4. Left-invariant symplectic structures on diagonal almost abelian Lie groups*;Hiroshima Mathematical Journal;2022-11-01

5. A classification of left-invariant symplectic structures on some Lie groups;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2022-05-04

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