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Calabi-Yau algebras viewed as deformations of Poisson algebras
Koszul algebras Calabi-Yau algebras Poisson algebras deformations of algebras Poisson homology Hochschild homology
2011/9/19
Abstract: We define a family of 3-Calabi-Yau algebras by potentials. For some of these algebras, we explicitly compute the Hochschild homology with the help of Poisson homology. The point is that the ...
Quantization of Poisson algebras associated to Lie algebroids
Quantization Poisson algebras Lie algebroids
2010/11/1
We prove the existence of a strict deformation quantization for the canonical Poisson structure on the dual of an integrable Lie algebroid. It follows that any Lie groupoid C*-algebra may be regarded...