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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…
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…