A controlling cohomology of the deformation theory of Lie triple systems

DOI10.1016/j.jalgebra.2004.01.005zbMath1065.17010OpenAlexW1993689121WikidataQ115351755 ScholiaQ115351755MaRDI QIDQ1879667

Yoshiaki Taniguchi, Fujio Kubo

Publication date: 23 September 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.01.005

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Ternary compositions (17A40)

Related Items (20)

Abelian extensions of Lie triple systems with derivations ⋮ Central extensions and Nijenhuis operators of Hom-\(\delta\)-Jordan Lie triple systems ⋮ \(T^\ast\)-extension and 1-parameter formal deformation of Novikov superalgebras ⋮ The construction and deformation of BiHom-Novikov algebras ⋮ On the deformation of Lie-Yamaguti algebras ⋮ Cohomologies and deformations of Lie triple systems with derivations ⋮ Cohomologies of Rota-Baxter Lie triple systems and applications ⋮ Cohomology and deformations of compatible Lie triple systems ⋮ Cohomologies and deformations of O-operators on Lie triple systems ⋮ 1-parameter formal deformations, Nijenhuis operators and abelian extensions of \(\delta\)-Lie color triple systems ⋮ Maurer-Cartan characterizations and cohomologies of crossed homomorphisms on Lie triple systems ⋮ 1-parameter formal deformations and abelian extensions of Lie color triple systems ⋮ On -Jordan Lie triple systems ⋮ Unnamed Item ⋮ Equivariant one-parameter deformations of Lie triple systems ⋮ Central extensions and deformations of Hom-Lie triple systems ⋮ Unnamed Item ⋮ Cohomology and 1-parameter formal deformations of Hom-\(\delta\)-Lie triple systems ⋮ Derivations and deformations of \(\delta\)-Jordan Lie supertriple systems ⋮ One-parameter formal deformations of Hom-Lie-Yamaguti algebras

Cites Work

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• Unnamed Item
• The geometry of Jordan and Lie structures
• On the deformation of rings and algebras. IV
• Cohomology and deformation of Leibniz pairs
• The cohomology structure of an associative ring
• On the deformation of rings and algebras. II
• On the deformation of rings and algebras. III
• Cohomology of Lie Triple Systems and Lie Algebras With Involution
• On the Deformation of Algebra Morphisms and Diagrams
• Lie and Jordan Triple Systems
• General Representation Theory of Jordan Algebras
• A Structure Theory of Lie Triple Systems

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