Results 91 to 100 of about 17,267 (191)

Almost-reductive and almost-algebraic Leibniz algebra

International Electronic Journal of Algebra
This paper examines whether the concept of an almost-algebraic Lie algebra developed by Auslander and Brezin in [J. Algebra, 8(1968), 295-313] can be introduced for Leibniz algebras. Two possible analogues are considered: almost-reductive and almost-algebraic Leibniz algebras.
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2-recognizeable classes of Leibniz algebras

Journal of Algebra, 2015
We show that for fields that are of characteristic 0 or algebraically closed of characteristic greater than 5, that certain classes of Leibniz algebras are 2-recognizeable. These classes are solvable, strongly solvable and super solvable. These results hold in Lie algebras and in general for groups.
Tiffany Burch, Meredith Harris, Allison McAlister, Elyse Rogers, Ernie Stitzinger, S. McKay Sullivan   +5 more
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Duality Hierarchies and Differential Graded Lie Algebras. [PDF]

Commun Math Phys, 2021
Bonezzi R, Hohm O.
europepmc   +1 more source

q-Leibniz Algebras

, 2008
2000 Mathematics Subject Classification: Primary 17A32, Secondary 17D25. An algebra (A,ο) is called Leibniz if aο(bοc) = (a ο b)ο c-(a ο c) ο b for all a,b,c ∈ A. We study identities for the algebras A(q) = (A,οq), where a οq b = a ο b+q b ο a is the q-commutator. Let Char K ≠ 2,3. We show that the class of q-Leibniz algebras is defined by one identity
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ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS [PDF]

Bulletin of the Australian Mathematical Society, 2011
AbstractA Lie algebra over a field of characteristic 0 splits over its soluble radical and all complements are conjugate. I show that the splitting theorem extends to Leibniz algebras but that the conjugacy theorem does not.
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On Poisson (2-3)-algebras which are finite-dimensional over the center

Researches 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, O.O. Pypka, I.V. Shyshenko   +2 more
doaj   +1 more source

Curvature-Dimension Conditions for Symmetric Quantum Markov Semigroups. [PDF]

Ann Henri Poincare, 2023
Wirth M, Zhang H.
europepmc   +1 more source

On exceptional QP-manifolds

Journal 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

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

Axioms
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

Pre-Leibniz algebras

Communications in Algebra
The notion of pre-Leibniz algebras was recently introduced in the study of Rota-Baxter operators on Leibniz algebras. In this paper, we first construct a graded Lie algebra whose Maurer-Cartan elements are pre-Leibniz algebras. Using this characterization, we define the cohomology of a pre-Leibniz algebra with coefficients in a representation.
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