RT Journal Article
T1 Solvable Lie algebras with naturally graded nilradicals and their invariants
A1 Ancochea Bermúdez, José María
A1 Campoamor Stursberg, Otto-Rudwig
A1 Vergnolle, L. G.
AB The indecomposable solvable Lie algebras with graded nilradical of maximal nilindex and a Heisenberg subalgebra of codimension one are analysed, and their generalized Casimir invariants are calculated. It is shown that rank one solvable algebras have a contact form, which implies the existence of an associated dynamical system. Moreover, due to the structure of the quadratic Casimir operator of the nilradical, these algebras contain a maximal non-abelian quasi-classical Lie algebra of dimension 2n - 1, indicating that gauge theories (with ghosts) are possible on these subalgebras.
PB Iop science
SN 0305-4470
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/49809
UL https://hdl.handle.net/20.500.14352/49809
LA eng
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 27 abr 2025