The construction of 3-Bihom-Lie algebras

DOI10.1080/00927872.2020.1788570zbMath1472.17016arXiv2001.10348OpenAlexW3043221556MaRDI QIDQ5124611

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Publication date: 30 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10348

zbMATH Keywords

representations\(\boldsymbol T_\theta\)-extensions\(\boldsymbol T_\theta^*\)-extensions3-Bihom-Lie algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Ternary compositions (17A40) Quadratic algebras (but not quadratic Jordan algebras) (17A45) Hom-Lie and related algebras (17B61)

Related Items (4)

Transposed BiHom-Poisson algebras ⋮ Constructions and \(T^*\)-extensions of 3-BiHom-Lie superalgebras ⋮ 3-Bihom-\(\rho\)-Lie algebras, 3-pre-Bihom-\(\rho\)-Lie algebras ⋮ Coquasitriangular infinitesimal BiHom-bialgebras and related structures

Cites Work

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• Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms
• BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras
• Representations and module-extensions of 3-hom-Lie algebras
• BiHom-Lie superalgebra structures and BiHom-Yang-Baxter equations
• On \(n\)-ary Hom-Nambu and Hom-Nambu-Lie algebras
• Hom-Nijienhuis operators and \(T^*\)-extensions of hom-Lie superalgebras
• Symplectic structures on quadratic Lie algebras
• Module extensions of 3-Lie algebras
• Generalization of n-ary Nambu algebras and beyond
• Representations of Bihom-Lie superalgebras
• 3-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras
• Representations andT*-Extensions of Hom–Jordan–Lie Algebras

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