RT Journal Article
T1 Indecomposable Lie algebras with nontrivial Levi decomposition cannot have filiform radical
A1 Ancochea Bermúdez, José María
A1 Campoamor Stursberg, Otto-Rudwig
A1 García Vergnolle, Lucía
AB Let g = s n r be an indecomposable Lie algebra with nontrivial semisimple Levi subalgebra s and nontrivial solvable radical r. In this note it is proved that r cannot be isomorphic to a filiform nilpotent Lie algebra. The proof uses the fact that any Lie algebra g = snr with filiform radical would degenerate (even contract) to the Lie algebra snfn, where fn is the standard graded filiformLie algebra of dimension n = dim r. This leads to a contradiction, since no such indecomposable algebra snr with r = fn exists
PB Hikari
SN 1312-7594
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/50562
UL https://hdl.handle.net/20.500.14352/50562
LA eng
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 13 jul 2025