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An Operadic Approach to Deformation Quantization of Compatible Poisson Brackets, I
並列摘要
An analogue of the Livernet-Loday operad for two compatible brackets, which is a flat deformation of the bi-Hamiltonian operad is constructed. The Livernet-Loday operad can be used to define ＊-products and deformation quantization for Poisson structures. The constructed operad is used in the same way, introducing a definition of operadic deformation quantization of compatible Poisson structures.
並列關鍵字
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