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Derivations of some classes of Leibniz algebras [PDF]

open access: yes, 2013
Let L be an algebra over a field K. It is called a Leibniz algebra if its the bilinear binary operation [ ; ] satisfies the following Leibniz identity: (x, [y, z]) = ([x, y]), z – ([x, z]), y , ∀ x, y, z ∈ L.
Ahmed I, Al-Nashri Al-Hossain
core   +1 more source

On Lie-holomorphs and biderivations of Leibniz algebras

open access: yes
In this talk, we study the notion of Lie-holomorph of a Leibniz algebra, recently introduced by N. P. Souris as a generalisation of the classical holomorph construction for Lie algebras.
Manuel Mancini
core  

On Poisson (2-3)-algebras which are finite-dimensional over the center

open access: yesResearches in Mathematics
One of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group $G/\zeta(G)$ of a group $G$ is finite, then its derived subgroup $[G,G]$ is also finite.
P.Ye. Minaiev   +2 more
doaj   +1 more source

Crossed Modules and Non-Abelian Extensions of Differential Leibniz Conformal Algebras

open access: yesAxioms
In this paper, we introduce two-term differential Leib∞-conformal algebras and give characterizations of some particular classes of such two-term differential Leib∞-conformal algebras.
Hui Wu, Shuangjian Guo, Xiaohui Zhang
doaj   +1 more source

On exceptional QP-manifolds

open access: yesJournal of High Energy Physics
The connection between two recent descriptions of tensor hierarchies — namely, infinity-enhanced Leibniz algebroids, given by Bonezzi & Hohm and Lavau & Palmkvist, and the p-brane QP-manifolds constructed by Arvanitakis — is made precise. This is done by
David Osten
doaj   +1 more source

Graded hypoellipticity of BGG sequences. [PDF]

open access: yesAnn Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

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