Eight-dimensional symplectic non-solvable Lie algebras

TL;DR

This paper provides a complete classification of eight-dimensional non-solvable Lie algebras that admit a symplectic structure, up to symplectomorphism, advancing understanding of their geometric and algebraic properties.

Contribution

It offers the first comprehensive classification of eight-dimensional symplectic non-solvable Lie algebras, filling a gap in Lie algebra theory.

Findings

Complete classification of eight-dimensional symplectic non-solvable Lie algebras

Identification of symplectic structures up to symplectomorphism

New insights into the structure of high-dimensional Lie algebras

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.