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

DOI10.1016/j.laa.2013.06.006zbMath1281.17033arXiv1304.7338OpenAlexW2162006358WikidataQ112882217 ScholiaQ112882217MaRDI QIDQ2435473

Liangyun Chen, Yao Ma, Yan Liu

Publication date: 19 February 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7338

zbMATH Keywords

infinitesimal deformationhom-Lie superalgebras\(T^\ast\)-extensionhom-Nijienhuis operatorquadratic hom-Lie superalgebras

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99)

Related Items (32)

Nijenhuis operators on Hom-Lie algebras ⋮ Ternary Hom-Jordan algebras induced by Hom-Jordan algebras ⋮ Central extensions and Nijenhuis operators of Hom-\(\delta\)-Jordan Lie triple systems ⋮ Deformations and generalized derivations of Hom-Lie conformal algebras ⋮ On split regular Hom-Leibniz algebras ⋮ \(T^\ast\)-extension and 1-parameter formal deformation of Novikov superalgebras ⋮ δ-Hom-Jordan Lie superalgebras ⋮ Hom–Jordan algebras and their α^k-(a,b,c)-derivations ⋮ Constructions and \(T^*\)-extensions of 3-BiHom-Lie superalgebras ⋮ 3-ary Hom-Lie superalgebras induced by Hom-Lie superalgebras ⋮ Hom-Leibniz bialgebras and BiHom-Leibniz dendriform algebras ⋮ Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras ⋮ Decomposition of complete color hom-Lie algebras ⋮ Nijenhuis operators and associative D-bialgebras ⋮ Deformations and generalized derivations of Lie conformal superalgebras ⋮ Simply complete Hom-Lie superalgebras and decomposition of complete Hom-Lie superalgebras ⋮ Unnamed Item ⋮ The construction of 3-Bihom-Lie algebras ⋮ On -Jordan Lie triple systems ⋮ Representations and one-parameter formal deformations of BiHom-Novikov superalgebras ⋮ Generalized derivations of Hom-Lie triple systems ⋮ Representations of Bihom-Lie superalgebras ⋮ Product and complex structures on hom-Lie superalgebras ⋮ On the cohomology and extensions of \(n\)-ary multiplicative Hom-Nambu-Lie superalgebras ⋮ Representations andT*-Extensions of Hom–Jordan–Lie Algebras ⋮ Central extensions and deformations of Hom-Lie triple systems ⋮ Cohomology and 1-parameter formal deformations of Hom-\(\delta\)-Lie triple systems ⋮ Constructions of three kinds of BiHom-superalgebras ⋮ Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras ⋮ One-parameter formal deformations of Hom-Lie-Yamaguti algebras ⋮ Unnamed Item ⋮ 3-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras

Cites Work

• Unnamed Item
• Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms
• On hom-algebras with surjective twisting
• Hom-Lie superalgebras and Hom-Lie admissible superalgebras
• Representations of hom-Lie algebras
• Representations and cohomology of \(n\)-ary multiplicative Hom-Nambu-Lie algebras
• \(T^*\)-extension of Lie triple systems
• Symplectic structures on quadratic Lie algebras
• Hom-Lie algebra structures on semi-simple Lie algebras
• Hom-quantum groups: I. Quasi-triangular Hom-bialgebras
• Quadratic Color Hom-Lie Algebras
• The Hom–Yang–Baxter equation and Hom–Lie algebras
• Cohomology of Hom-Lie superalgebras and q-deformed Witt superalgebra

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