%0 Journal Article
%A Campoamor Stursberg, Otto-Rudwig
%T A graph theoretical determination of solvable complete rigid Lie algebras
%D 2003
%@ 0024-3795
%U https://hdl.handle.net/20.500.14352/50719
%X We describe a class of nilpotent Lie algebras completely determined by their associated weight graph. These algebras also present two important structural properties: to admitnaturally a symplectic form and to be isomorphic to the nilradical of a solvable complete rigid Lie algebra. These solvable algebras are proved to constitute a class of algebras where a symplectic form cannot exist. Finally we analyze the product by generators of the precedingalgebras, and show that this operator preserves the property of being the maximal nilpotent ideal of a solvable rigid Lie algebra
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