English

Symplectic forms on six dimensional real solvable Lie algebras I

Differential Geometry 2007-05-23 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.math/0507499,
  title  = {Symplectic forms on six dimensional real solvable Lie algebras I},
  author = {R. Campoamor-Stursberg},
  journal= {arXiv preprint arXiv:math/0507499},
  year   = {2007}
}

Comments

16 pages, 8 tables. Various misprints corrected, references updated

R2 v1 2026-07-22T17:22:28.484Z