Coadjoint orbits of Lie groupoids

DOI10.1016/j.geomphys.2018.03.011zbMath1388.58013arXiv1802.09923OpenAlexW2788368900WikidataQ130115656 ScholiaQ130115656MaRDI QIDQ1748228

Honglei Lang, Zhang-Ju Liu

Publication date: 9 May 2018

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

Full work available at URL: https://arxiv.org/abs/1802.09923

zbMATH Keywords

coadjoint orbitssymplectic leavesjet groupoids

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Pseudogroups and differentiable groupoids (58H05)

Related Items (2)

Unnamed Item ⋮ Affine structures on Lie groupoids

Cites Work

• The local structure of Poisson manifolds
• Omni-Lie algebroids
• Moments and reduction for symplectic groupoids
• A universal phase space for particles in Yang-Mills fields
• Dirac structures and Poisson homogeneous spaces
• Lie algebroids, holonomy and characteristic classes
• Multiplicative forms and Spencer operators
• Representations up to homotopy and Bott's spectral sequence for Lie groupoids
• Tangent lifts of Poisson and related structures
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
• FROM SYMPLECTIC GROUPOIDS TO DOUBLE STRUCTURES
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