RT Journal Article
T1 A graph theoretical determination of solvable complete rigid Lie algebras
A1 Campoamor Stursberg, Otto-Rudwig
AB 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
PB Elsevier Science
SN 0024-3795
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/50719
UL https://hdl.handle.net/20.500.14352/50719
LA eng
NO Fundacion Ramón Areces
DS Docta Complutense
RD 10 abr 2025