The role of the Jacobi identity in solving the Maurer-Cartan structure equation

DOI10.2140/pjm.2016.282.487zbMath1335.22005arXiv1506.00048OpenAlexW1817281059MaRDI QIDQ265543

Ori Yudilevich

Publication date: 4 April 2016

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00048

zbMATH Keywords

Jacobi identityPoisson structureLie algebraLie algebroidMaurer-Cartan equationMaurer-Cartan formstructure equationssymplectic realization

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie algebras of Lie groups (22E60) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (6)

Local formulas for multiplicative forms ⋮ Linking Lie groupoid representations and representations of infinite-dimensional Lie groups ⋮ Cartan geometries and multiplicative forms ⋮ From PDEs to Pfaffian fibrations ⋮ On local integration of Lie brackets ⋮ Local and global integrability of Lie brackets

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