A PBW theorem for inclusions of (sheaves of) Lie algebroids

DOI10.4171/RSMUP/131-3zbMath1337.53098arXiv1205.3214MaRDI QIDQ396481

Damien Calaque

Publication date: 13 August 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3214

zbMATH Keywords

Lie algebroidsalgebraic geometryAtiyah classPBW isomorphismPoincaré-Birkhoff-Witt results

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Universal enveloping algebras of Lie algebras (16S30)

Related Items (6)

Derived intersections and free dg-Lie algebroids ⋮ Universal central extensions of Lie–Rinehart algebras ⋮ Kontsevich's graph complex, GRT, and the deformation complex of the sheaf of polyvector fields ⋮ From Atiyah classes to homotopy Leibniz algebras ⋮ Poincaré-Birkhoff-Witt isomorphisms and Kapranov dg-manifolds ⋮ Invariant connections and PBW theorem for Lie groupoid pairs

Cites Work

• PBW for an inclusion of Lie algebras
• When is the self-intersection of a subvariety a fibration?
• Hochschild cohomology and Atiyah classes
• Free Lie algebroids and the space of paths
• Rozansky-Witten invariants via Atiyah classes
• Quantum groupoids

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