Modular classes of regular twisted Poisson structures on Lie algebroids

DOI10.1007/s11005-007-0153-3zbMath1128.53055arXivmath/0701209OpenAlexW2093555958MaRDI QIDQ2457818

Yvette Kosmann-Schwarzbach, Milen T. Yakimov

Publication date: 23 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0701209

zbMATH Keywords

Lie algebroidsFrobenius Lie algebrasmodular classestwisted Poisson structures

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie bialgebras; Lie coalgebras (17B62) Pseudogroups and differentiable groupoids (58H05)

Related Items (4)

On the geometric quantization of twisted Poisson manifolds ⋮ Twisted Rota–Baxter operators and Reynolds operators on Lie algebras and NS-Lie algebras ⋮ Nambu structures on Lie algebroids and their modular classes ⋮ Modular classes of Lie algebroid morphisms

Cites Work

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• The quantum group structure associated with non-linearly extended Virasoro algebras
• Frobenius Lie algebras
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• The modular automorphism group of a Poisson manifold
• Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes
• WZW-Poisson manifolds
• Quasi-Lie bialgebroids and twisted Poisson manifolds
• Relative modular classes of Lie algebroids
• On rational solutions of Yang-Baxter equation for $\mathfrak{sl}(n)$.
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids

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