Deformations of Lie 2-algebras

DOI10.1016/j.geomphys.2014.07.020zbMath1362.17032arXiv1306.6225OpenAlexW2044897121MaRDI QIDQ478821

Yun He Sheng, Tao Zhang, Zhang-Ju Liu

Publication date: 4 December 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6225

zbMATH Keywords

cohomologydeformationsabelian extensionsLie 2-algebrasNijenhuis operators

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56)

Related Items (8)

Crossed modules for Lie 2-algebras ⋮ Hom-Leibniz 2-algebras ⋮ A new cohomology theory for strict Lie 2-algebras ⋮ Cohomology of hemistrict Lie 2-algebras ⋮ Hom-Lie 2-superalgebras ⋮ Nijenhuis forms on \(L_\infty\)-algebras and Poisson geometry ⋮ Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras ⋮ Split Courant algebroids as \(L_\infty\)-structures

Cites Work

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• Semi-simple generalized Nijenhuis operators
• Hierarchies and compatibility on Courant algebroids
• Nijenhuis forms on \(L_\infty\)-algebras and Poisson geometry
• Lie 2-bialgebras
• INTEGRATION OF SEMIDIRECT PRODUCT LIE 2-ALGEBRAS
• What a Classical r-Matrix Really Is
• Contractions: Nijenhuis and Saletan tensors for general algebraic structures
• Strongly homotopy lie algebras
• Cohomology and deformations in graded Lie algebras

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