Linearization problems for Lie algebroids and Lie groupoids

DOI10.1023/A:1007657920231zbMath0961.22004OpenAlexW4246255072MaRDI QIDQ1590159

Alan Weinstein

Publication date: 16 May 2001

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007657920231

zbMATH Keywords

Lie algebroidsLie groupoidsPoisson manifoldsmoment mapsLinearization problems

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Group actions and symmetry properties (58D19) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (12)

The orbit space and basic forms of a proper Lie groupoid ⋮ Invariants of Lie algebroids ⋮ A geometric approach to Conn's linearization theorem ⋮ Euler-like vector fields, normal forms, and isotropic embeddings ⋮ KV-COHOMOLOGY OF KOSZUL–VINBERG ALGEBROIDS AND POISSON MANIFOLDS ⋮ Deformations of Lie brackets: Cohomological aspects ⋮ Riemannian metrics on Lie groupoids ⋮ Linearization of Poisson brackets ⋮ The neighborhood of a singular leaf ⋮ On F-algebroids and Dubrovin’s duality ⋮ Lie algebroids, holonomy and characteristic classes ⋮ Proper groupoids and momentum maps: Linearization, affinity, and convexity

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