Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids

DOI10.1016/j.geomphys.2017.07.006zbMath1420.17022arXiv1605.04752OpenAlexW2398486018MaRDI QIDQ2407344

Liqiang Cai, Jiefeng Liu, Yun He Sheng

Publication date: 29 September 2017

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

Full work available at URL: https://arxiv.org/abs/1605.04752

zbMATH Keywords

Hom-Lie algebraHom-Courant algebroidHom-Lie algebroidHom-Lie bialgebroidHom-Poisson manifold

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie bialgebras; Lie coalgebras (17B62) Lie algebras and Lie superalgebras (17B99)

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Skew-symmetric hom-algebroids and their representation theory ⋮ Diagonal abelian extensions and morphism-fixed formal deformations of Hom-pre-Lie algebras ⋮ Equivalent description of Hom-Lie algebroids ⋮ Geometry of almost Kenmotsu Hom-Lie algebras ⋮ Hom-Poisson-Nijenhuis structures and Hom-Dirac structures ⋮ Unnamed Item ⋮ CoKähler and cosymplectic Hom-Lie algebras ⋮ Cohomology and deformations of compatible Hom-Lie algebras ⋮ Hom-left symmetric algebroids ⋮ Representations and cohomologies of regular Hom-pre-Lie algebras ⋮ Hom-Lie algebras and Hom-Lie groups, integration and differentiation ⋮ Para-Sasakian geometry on Hom-Lie groups ⋮ On Hom-Lie–Rinehart Algebras ⋮ Universal central extensions and non-abelian tensor product of hom-Lie–Rinehart algebras ⋮ On Hom-Gerstenhaber algebras, and Hom-Lie algebroids ⋮ Almost contact Hom-Lie algebras and Sasakian Hom-Lie algebras

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