Differential calculus over double Lie algebroids

DOI10.4171/JNCG/364zbMath1455.16038arXiv1712.05619WikidataQ115212201 ScholiaQ115212201MaRDI QIDQ784877

Sophie Chemla

Publication date: 3 August 2020

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.05619

zbMATH Keywords

Lie algebroidsdouble Poisson algebrasLie-Rinehart algebrasdouble Lie algebroidsdouble Lie-Rinehart algebrasKaroubi-de Rham complex

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Poisson manifolds; Poisson groupoids and algebroids (53D17) Pseudogroups and differentiable groupoids (58H05) General and miscellaneous (16B99)

Cites Work

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• On double Poisson structures on commutative algebras
• Poisson structures on moduli spaces of representations
• From Poisson algebras to Gerstenhaber algebras
• Noncommutative geometry and quiver algebras
• Quantization and dynamisation of trace-Poisson brackets
• Double Poisson cohomology of path algebras of quivers
• Quasi-Poisson Structures on Representation Spaces of Surfaces
• Double Poisson brackets on free associative algebras
• Semisimple Representations of Quivers
• Double Poisson algebras
• Quasi-Poisson Manifolds
• Brackets in the Pontryagin algebras of manifolds
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
• Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras
• Differential Forms on General Commutative Algebras

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