1 citations · 1 across the 5 of their papers we have counts for
5 papers
About the reducibility of the variety of complex Leibniz algebras
J. M. Ancochea Bermudez, Juan Margalef-Bentabol
In this paper, using the notions of perturbation and contraction of Lie and Leibniz algebras, we show that the algebraic varieties of Leibniz and nilpotent Leibniz algebras of dime…
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…
Completable filiform Lie algebras
J. M. Ancochea, R. Campoamor
We determine the solvable complete Lie algebras whose nilradical is isomorphic to a filiform Lie algebra. Moreover we show that for any positive integer there exists a solvable…