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On the Integrability of Deformation Quantized Toda Lattice
Authors:Naoya Miyazaki
Institution:(1) Department of Mathematics, Faculty of Economics, Keio University, 4-1-1 Hiyoshi, Yokohama 223-8521, Japan
Abstract:In the present paper, we are concerned with deformation quantization of irregular Poisson structures. Translating Toda lattice equation into Hamiltonian formalism equation, we also study the global integrability of deformation quantized Toda lattice.
Keywords:integrable system  Toda lattice  star-product  deformation quantization  Hochschild cohomology
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