Daniel Ernst Jablonski et Gottfried Wilhelm Leibniz, Negotium Irenicum, L’union des Églises protestantes selon G.W. Leibniz et

Cup-product for Leibniz Cohomology and Dual Leibniz Algebras

For any Lie algebra g there is a notion of Leibniz cohomology HL(g), which is defined like the classical Lie cohomology, but with the n-th tensor product g⊗n in place of the n-th exterior product Λ g. This Leibniz cohomology is defined on a larger class of algebras : the Leibniz algebras (cf. [L1], [L2]). A Leibniz algebra is a vector space equipped with a product satisfying a variation of the ...

Stabilisation des antigenes claveleux et preparation d'un vaccin mixte contre la clavelee et la fievre charbonneuse

Leibniz Triple Systems

We define Leibniz triple systems in a functorial manner using the algorithm of Kolesnikov and Pozhidaev which converts identities for algebras into identities for dialgebras; this algorithm is a concrete realization of the white Manin product introduced by Vallette by the permutad Perm introduced by Chapoton. We verify that Leibniz triple systems are natural analogues of Lie triple systems by s...

On Nilpotent Leibniz Superalgebras

The aim of this work is to present the first problems that appear in the study of nilpotent Leibniz superalgebras. These superalgebras and so the problems, will be considered as a natural generalization of nilpotent Leibniz algebras and Lie superalgebras. 2000 MSC: 17A32, 17B30. Key-Words: Lie superalgebras, Leibniz superalgebras, nilindex.

Etude sur l'Agalaxic contagieuse des chèvres et des moutons