Symplectic forms on six dimensional real solvable Lie algebras I

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.

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