Eight-dimensional symplectic non-solvable Lie algebras

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.

Saved in:
Bibliographic Details
Published inCommunications in algebra Vol. 52; no. 3; pp. 1196 - 1218
Main Authors Aït Aissa, T., Mansouri, M. W.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.03.2024
Taylor & Francis Ltd
Subjects
Algebra
Frobenius algebras
left-symmetric algebras
Levi decomposition
Lie groups
symplectic Lie algebras
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2023.2259469