4 papers
Sur les algèbres de Lie quasi-filiformes admettant un tore de dérivations [On quasi-filiform Lie algebras admitting a torus of derivations]
L. Garcia Vergnolle
The quasi-filiform Lie algebras of nonzero rank are described. The classifications of filiform and quasi-filiform naturally graded algebras are corrected.
Contractions d'algèbres de Jordan en dimension 2 [Contractions of Jordan algebras in dimension 2]
J. M. Ancochea Bermudez, R. Campoamor-Stursberg, L. Garcia Vergnolle +1
We determine the isomorphism classes of Jordan algebras in dimension two over the field of real numbers. Using techniques of non-standard analysis we study the properties of the va…
Algebraically rigid real solvable Lie algebras
J. M. Ancochea bermudez, R. Campoamor-Stursberg, M. Goze +1
We present all real solvable algebraically rigid Lie algebras of dimension . The difference between the classification of complex and real rigid Lie algebras is analyzed.
Solvable real rigid Lie algebras are not necessarily completely solvable [Les algèbres de Lie résolubles rigides réelles ne sont pas nécessairement complètement résolubles]
J. M. Ancochea Bermudez, R. Campoamor-Stursberg, L. Garcia Vergnolle
We show that a solvable real rigid Lie algebra is not completelt rigid, by constructing an example of minimal dimension where the external torus is not spanned by -semisimple d…