193 citations · 193 across the 2 of their papers we have counts for
4 papers
k-Leibniz algebras from lower order ones: from Lie triple to Lie l-ple systems
J. A. de Azcarraga, J. M. Izquierdo
Two types of higher order Lie -ple systems are introduced in this paper. They are defined by brackets with arguments satisfying certain conditions, and generalize…
Inversion and quasigroup identities in division algebras
Erik Darpö, José Maria Pérez Izquierdo
The present article is concerned with division algebras that are structurally close to alternative algebras, in the sense that they satisfy some identity or other algebraic propert…
On a class of n-Leibniz deformations of the simple Filippov algebras
J. A. de Azcarraga, J. M. Izquierdo
We study the problem of the infinitesimal deformations of all real, simple, finite-dimensional Filippov (or n-Lie) algebras, considered as a class of n-Leibniz algebras characteriz…
n-ary algebras: a review with applications
Jose A. de Azcarraga, Jose M. Izquierdo
This paper reviews the properties and applications of certain n-ary generalizations of Lie algebras in a self-contained and unified way. These generalizations are algebraic structu…