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Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig ; García Vergnolle, Lucía ; Goze, M. | Springer | 2007We present all real solvable algebraically rigid Lie algebras of dimension lower or equal than eight. We point out the differences that distinguish the real and complex classification of solvable rigid Lie algebrastexto impreso
Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig ; García Vergnolle, Lucía | Elsevier Science | 2006On montre qu’une algèbre de Lie résoluble rigide réelle n’est pas nécessairement complètement résoluble. On construit un exemple n ? t de dimension minimale dont le tore extérieur t n’est pas formé par des dérivations ad-semi-simples surR. Nous [...]texto impreso
Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig ; García Vergnolle, Lucía | Elsevier | 2011The whole class of complex Lie algebras g having a naturally graded nilradical with characteristic sequence c(g) = (dim g ? 2, 1, 1) is classified. It is shown that up to one exception, such Lie algebras are solvable.texto impreso
Almaraz Luengo, Elena ; Ancochea Bermúdez , José María ; García Vergnolle, Lucía | Taylor & Francis | 2013-05It is proved that for any quasi-filiform of non-zero rank the solvable Lie algebra obtained by adjoining a maximal torus of outer derivations is complete. Further, for any positive integer m, it is shown that there exist solvable complete Lie a[...]texto impreso
Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig ; García Vergnolle, Lucía ; Sánchez Hernández, J. | Academic Press | 2008-03-15On détermine les classes d’isomorphisme des algèbres de Jordan en dimension deux sur le corps des nombres réels. En utilisant des techniques d’Analyse Non Standard, on étudie les propriétés de la variét des lois d’algèbres de Jordan, et aussi le[...]texto impreso
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Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig ; García Vergnolle, Lucía | Hikari | 2006Let 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 tha[...]texto impreso
Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig ; García Vergnolle, Lucía | UCM | 2012For the only quasi-filiform Lie algebra L5,3 admitting a Levi factor in its Lie algebra of derivations, the extensions by derivations are classified over C and R. Moreover, the invariants of these extensions are computed.
