Quadratic Color Hom-Lie Algebras

DOI10.1007/978-3-030-35256-1_16zbMath1475.17036arXiv1204.5155OpenAlexW2999320448MaRDI QIDQ3294673

Faouzi Ammar, Imen Ayadi, Abdenacer Makhlouf, Sami Mabrouk

Publication date: 29 June 2020

Published in: Associative and Non-Associative Algebras and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5155

zbMATH Keywords

cohomologyrepresentationHom-Lie algebraquadratic structure\(T^*\)-extensionnondegenerate bilinear formcolor Hom-Lie algebracolor Hom-associative algebracolor Hom-Leibniz algebra

Mathematics Subject Classification ID

Color Lie (super)algebras (17B75) Cohomology of Lie (super)algebras (17B56) Hom-Lie and related algebras (17B61)

Related Items (13)

Representations and deformations of 3-Hom-ρ-Lie algebras ⋮ Unnamed Item ⋮ COHOMOLOGY AND DEFORMATIONS OF HOM-LIE-YAMAGUTI COLOR ALGEBRAS ⋮ Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras ⋮ Decomposition of complete color hom-Lie algebras ⋮ Hom-prealternative superalgebras ⋮ Cohomology and formal deformations of \(n\)-Hom-Lie color algebras ⋮ Simply complete Hom-Lie superalgebras and decomposition of complete Hom-Lie superalgebras ⋮ Hom-Nijienhuis operators and \(T^*\)-extensions of hom-Lie superalgebras ⋮ Unnamed Item ⋮ Hom-left-symmetric color dialgebras, Hom-tridendriform color algebras and Yau's twisting generalizations ⋮ Quadratic and symplectic structures on 3-(Hom)–ρ-Lie algebras ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• \(q\)-deformation of the Virasoro algebra with central extension
• Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms
• Hom-Lie superalgebras and Hom-Lie admissible superalgebras
• Representations of hom-Lie algebras
• Derivations and extensions of Lie color algebra
• On the Lie-algebraic origin of metric 3-algebras
• The theory of Lie superalgebras. An introduction
• Classification of nilpotent Lie superalgebras of dimension five. I
• On the geometry of inner ideals
• Socle and some invariants of quadratic Lie superalgebras
• Quadratic Lie superalgebras with the completely reducible action of the even part of the odd part
• Odd-quadratic Lie superalgebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-algebra structures
• Enveloping algebras of Hom-Lie algebras
• Hom-Lie Color Algebra Structures
• Deformations of Hom-Alternative and Hom-Malcev algebras
• Hom-alternative algebras and Hom-Jordan algebras
• Hom-Maltsev, Hom-alternative, and Hom-Jordan algebras
• Graded tensor calculus
• Non-degenerate Invariant Bilinear Forms on Lie Color Algebras
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• Deformations of 3-algebras
• Hom-algebras and homology
• Algèbres de Lie et produit scalaire invariant
• Generalized Lie algebras
• Sequences of Z2⊗Z2 graded Lie algebras and superalgebras
• Double extension of quadratic lie superalgebras
• LIE SUPERALGEBRAS WITH SOME HOMOGENEOUS STRUCTURES
• Cohomology of Lie superalgebras and their generalizations
• A Hom-version of the affinizations of Balinskii–Novikov and Novikov superalgebras
• Constructions of Quadratic $$n$$ -ary Hom-Nambu Algebras

This page was built for publication: Quadratic Color Hom-Lie Algebras