Lie-Rinehart bialgebras for crossed products

DOI10.1016/j.jpaa.2010.08.011zbMath1217.17014arXiv0710.3908OpenAlexW2057987707WikidataQ115345541 ScholiaQ115345541MaRDI QIDQ531333

Zhuo Chen, De Shou Zhong, Zhang-Ju Liu

Publication date: 29 April 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3908

zbMATH Keywords

crossed productdynamical R-matrixLie-Rinehart bialgebra

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Lie bialgebras; Lie coalgebras (17B62)

Related Items (6)

Extensions and crossed modules of \(n\)-Lie-Rinehart algebras ⋮ Restricted and quasi-toral restricted Lie-Rinehart algebras ⋮ Graded Lie-Rinehart algebras ⋮ On the structure of split regular Hom-Lie–Rinehart algebras ⋮ Split Lie–Rinehart algebras ⋮ Structure and cohomology of 3-Lie-Rinehart superalgebras

Cites Work

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• Lie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebras
• Gerstenhaber algebras and BV-algebras in Poisson geometry
• Lie bialgebroids and Poisson groupoids
• Categories of modules with differentials
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• Poisson cohomology and quantization.
• Generalized lie bialgebras
• Extensions of Lie-Rinehart algebras and the Chern-Weil construction
• Duality for Lie-Rinehart algebras and the modular class
• Lie Algebroids and Lie Pseudoalgebras
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