Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras (Q6119320)

scientific article; zbMATH DE number 7822765

Language	Label	Description	Also known as
English	Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras	scientific article; zbMATH DE number 7822765

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instance of

scholarly article

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title

Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras (English)

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Non-commutative and Non-associative Algebra and Analysis Structures

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publication date

22 March 2024

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full work available at URL

https://arxiv.org/abs/2110.13364

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zbMATH Keywords

Hom-Lie superalgebra

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Hom-Leibniz superalgebra

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Centroid

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derivation

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MaRDI profile type

Publication

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cites work

Hom-alternative, Hom-Malcev and Hom-Jordan superalgebras

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Constructions and Cohomology of Hom–Lie Color Algebras

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3-Hom-Lie algebras based on \(\sigma\)-derivation and involution

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\(q\)-deformation of the Virasoro algebra with central extension

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Hom-Lie superalgebras and Hom-Lie admissible superalgebras

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Ternary<i>q</i>-Virasoro–Witt Hom–Nambu–Lie algebras

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Q3106527

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Representations and cohomology of \(n\)-ary multiplicative Hom-Nambu-Lie algebras

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Cohomology of Hom-Lie superalgebras and q-deformed Witt superalgebra

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Quadratic Color Hom-Lie Algebras

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Geometric aspects of extensions of hom-Lie superalgebras

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Complete hom-Lie superalgebras

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Enveloping algebras of certain types of color Hom-Lie algebras

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Enveloping algebras of color hom-Lie algebras

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Extensions of hom-Lie color algebras

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Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras

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Ternary Hom–Nambu–Lie algebras induced by Hom–Lie algebras

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Construction of \(n\)-Lie algebras and \(n\)-ary Hom-Nambu-Lie algebras

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Generalization of n-ary Nambu algebras and beyond

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Modules over color Hom-Poisson algebras

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Some generalized Hom-algebra structures

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Hom-left-symmetric color dialgebras, Hom-tridendriform color algebras and Yau's twisting generalizations

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Multiplicative \(n\)-Hom-Lie color algebras

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Leibniz Algebras with Invariant Bilinear Forms and Related Lie Algebras

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The centroid of extended affine and root graded Lie algebras

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The classification of 4-dimensional Leibniz algebras

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An algorithm for the classification of 3-dimensional complex Leibniz algebras

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Classification of solvable Leibniz algebras with naturally graded filiform nilradical

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Classification of solvable Leibniz algebras with null-filiform nilradical

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Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms

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Hom-Lie Color Algebra Structures

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Classification of some nilpotent class of Leibniz superalgebras

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Generalized deformed Virasoro algebras

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Q4783528

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On hom-Lie superalgebras

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Deformations of Lie algebras using \(\sigma\)-derivations

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Q4262335

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LEIBNIZ SUPERALGEBRAS AND CENTRAL EXTENSIONS

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Cyclic homology of differential operators, the Virasoro algebra and a \(q\)-analogue

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On classification of 5-dimensional solvable Leibniz algebras

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On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras

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On \((n+1)\)-Hom-Lie algebras induced by \(n\)-Hom-Lie algebras

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On solvability and nilpotency for \(n\)-Hom-Lie algebras and \((n+1)\)-Hom-Lie algebras induced by \(n\)-Hom-Lie algebras

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Q4550419

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Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities

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Q5494104

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Quasi-Deformations of 𝔰𝔩<sub>2</sub>(𝔽) Using Twisted Derivations

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Q4009416

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Characterizations of the quantum Witt algebra

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Hom-Nijienhuis operators and \(T^*\)-extensions of hom-Lie superalgebras

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A noncommutative version of Lie algebras: Leibniz algebras

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Generalized derivations and Rota-Baxter operators of \(n\)-ary Hom-Nambu superalgebras

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On Hom-Gerstenhaber algebras, and Hom-Lie algebroids

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A review on Hom-Gerstenhaber algebras and Hom-Lie algebroids

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Lie Color and Hom-Lie Algebras of Witt Type and Their Central Extensions

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Q3507168

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Hom-Leibniz superalgebras and Hom-Leibniz Poisson superalgebras

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Identifiers

arXiv ID

2110.13364

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DOI

10.1007/978-3-031-32009-5_3

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6119320