Results 31 to 40 of about 670,256 (260)
On Compatible Leibniz Algebras [PDF]
Journal of Algebra and its Applications, 2023 In this paper, we study compatible Leibniz algebras. We characterize compatible Leibniz algebras in terms of Maurer-Cartan elements of a suitable differential graded Lie algebra.
A. Makhlouf, R. Saha
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Isotopisms of nilpotent Leibniz algebras and Lie racks [PDF]
Communications in Algebra, 2023 In this paper we study the isotopism classes of two-step nilpotent algebras. We show that every nilpotent Leibniz algebra g with dim[g,g]=1 is isotopic to the Heisenberg Lie algebra or to the Heisenberg algebra l2n+1J1, where J1 is the n × n Jordan block
Gianmarco La Rosa +2 more
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Classification of Five-Dimensional Symmetric Leibniz Algebras [PDF]
Bulletin of the Iranian Mathematical Society, 2023 In this paper, we give the complete classification of 5-dimensional complex solvable symmetric Leibniz algebras.
I. Choriyeva, A. Khudoyberdiyev
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Weak c-ideals of Leibniz algebras [PDF]
Communications in Algebra, 2023 A subalgebra B of a Leibniz algebra L is called a weak c-ideal of L if there is a subideal C of L such that and where is the largest ideal of L contained in B.
D. Towers, Zekiye Çiloğlu
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Non-Nilpotent Leibniz Algebras with One-Dimensional Derived Subalgebra [PDF]
Mediterranean Journal of Mathematics, 2023 In this paper we study non-nilpotent non-Lie Leibniz F\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Alfonso Di Bartolo +2 more
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Cohomology, deformations and extensions of Rota-Baxter Leibniz algebras [PDF]
Communications in Mathematics, 2022 A Rota-Baxter Leibniz algebra is a Leibniz algebra $(\mathfrak{g},[~,~]_{\mathfrak{g}})$ equipped with a Rota-Baxter operator $T : \mathfrak{g} \rightarrow \mathfrak{g}$.
B. Mondal, R. Saha
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Leibniz algebras of Heisenberg type [PDF]
, 2016 We introduce and provide a classification theorem for the class of Heisenberg-Fock Leibniz algebras. This category of algebras is formed by those Leibniz algebras L whose corresponding Lie algebras are Heisenberg algebras Hn and whose Hn-modules I ...
Calderón, Antonio J. +2 more
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MINIMAL NONNILPOTENT LEIBNIZ ALGEBRAS
International Electronic Journal of Algebra, 2020 We classify all nonnilpotent, solvable Leibniz algebras with the property that all proper subalgebras are nilpotent. This generalizes the work of Stitzinger and Towers in Lie algebras. We show several examples which illustrate the differences between the Lie and Leibniz results.
BOSKO-DUNBAR, Lindsey +3 more
openaire +5 more sources
Naturally Graded 2-Filiform Leibniz Algebras [PDF]
, 2010 The Leibniz algebras appear as a generalization of the Lie algebras [8]. The classification of naturally graded p-filiform Lie algebras is known [3], [4], [5], [9]. In this work we deal with the classification of 2-filiform Leibniz algebras. The study
Camacho Santana, Luisa María +3 more
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Reynolds operators on Hom-Leibniz algebras
Filomat, 2023 In this paper, we first introduce the notion of Reynolds operators on Hom-Leibniz algebras and give some constructions. Furthermore, we define the cohomology of Reynolds operators, and use this cohomology to study deformations of Reynolds operators ...
Dingguo Wanga, Yuanyuan Keb
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