Maximal solvable extensions of filiform algebras

Libor Šnobl

Address: Department of Physics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19 Prague 1, Czech Republic,


Abstract: It is already known that any filiform Lie algebra which possesses a codimension 2 solvable extension is naturally graded. Here we present an alternative derivation of this result.

AMSclassification: primary 17B30; secondary 17B05, 17B81.

Keywords: solvable and nilpotent Lie algebras, filiform algebras.