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math.RA2007
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.
math.RA2007
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…