Results 91 to 100 of about 156 (136)
Solvable Leibniz algebras with NFn⊕ Fm1$\begin{array}{} F_{m}^{1} \end{array} $ nilradical
Open Mathematics, 2017 All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ Fm1$\begin{array}{} F_{m}^{1} \end{array} $ as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described.
Camacho L.M. +3 more
doaj +1 more source
The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one
Forum of Mathematics, SigmaThe Manin–Peyre conjecture is established for a class of smooth spherical Fano varieties of semisimple rank one. This includes all smooth spherical Fano threefolds of type T as well as some higher-dimensional smooth spherical Fano varieties.
Valentin Blomer +3 more
doaj +1 more source
Topics on n-ary Algebraic Structures
Acta Polytechnica, 2010 We review the basic definitions and properties of two types of n-ary structures, the Generalized Lie Algebras (GLA) and the Filippov (≡ n-Lie) algebras (FA), as well as those of their Poisson counterparts, the Generalized Poisson (GPS) and Nambu-Poisson (
J. A. de Azcárraga, J. M. Izquierdo
doaj
TWO METHODS OF DESCRIBING 2-LOCAL DERIVATIONS AND AUTOMORPHISMS
Ural Mathematical JournalIn the present paper, we investigate 2-local linear operators on vector spaces. Sufficient conditions are obtained for the linearity of a 2-local linear operator on a finite-dimensional vector space. To do this, families of matrices of a certain type are
Farhodjon Arzikulov +2 more
doaj +1 more source
Gauge covariant link formulation of twisted N = D = 4 and N = 4 D = 5 super Yang-Mills on a lattice
Journal of High Energy PhysicsWe propose a lattice formulation of four dimensional super Yang-Mills model with a twisted N = 4 supersymmetry in a manifestly gauge covariant manner. The formulation we employ here is a four dimensional extension of the manifestly gauge covariant method
Alessandro D’Adda +3 more
doaj +1 more source
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Mathematical Notes, 2021
For a class of algebras \(\mathcal{A}\), denote by \(\mathcal{A}_1\) the class of algebras in which every singly generated algebra belongs to the class \(\mathcal{A}\). We similarly define \(\mathcal{A}_2\) as the class of algebras in which every two-generated algebra belongs to the class \(\mathcal{A}\).
Ismailov, N. A., Dzhumadil'daev, A. S.
openaire +2 more sources
For a class of algebras \(\mathcal{A}\), denote by \(\mathcal{A}_1\) the class of algebras in which every singly generated algebra belongs to the class \(\mathcal{A}\). We similarly define \(\mathcal{A}_2\) as the class of algebras in which every two-generated algebra belongs to the class \(\mathcal{A}\).
Ismailov, N. A., Dzhumadil'daev, A. S.
openaire +2 more sources
International Journal of Algebra and Computation, 2022
This paper is devoted to the so-called complete Leibniz algebras. We construct some complete Leibniz algebras with complete radical and prove that the direct sum of complete Leibniz algebras is also complete. It is known that a Lie algebra with a complete ideal is split.
Shavkat A. Ayupov +2 more
openaire +1 more source
This paper is devoted to the so-called complete Leibniz algebras. We construct some complete Leibniz algebras with complete radical and prove that the direct sum of complete Leibniz algebras is also complete. It is known that a Lie algebra with a complete ideal is split.
Shavkat A. Ayupov +2 more
openaire +1 more source
On the commutator in Leibniz algebras
International Journal of Algebra and Computation, 2022We prove that the class of algebras embeddable into Leibniz algebras with respect to the commutator product is not a variety. It is shown that every commutative metabelain algebra is embeddable into Leibniz algebras with respect to the anti-commutator. Furthermore, we study polynomial identities satisfied by the commutator in every Leibniz algebra. We
A. S. Dzhumadil'daev +2 more
openaire +4 more sources
Cohomology of Leibniz Algebras
Jahresbericht der Deutschen Mathematiker-Vereinigung, 2023The paper under review is a survey of recent results on the cohomology of Leibniz algebras which are due to the author and the reviewer [J. Algebra 569, 276--317 (2021; Zbl 1465.17006); Indag. Math., New Ser. 35, No. 1, 87--113 (2024; Zbl 1543.17003)].
openaire +2 more sources