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在O(3)/O(2)对称空间上给出了非线性σ模型的Poisson-Lie括号,用协变分解的方法讨论了活动标架与固定标架系的协变关系。We give out the Poisson-Lie brackets of non-linear σ model in O(3)/O(2) sy-mmetric space. Covariant properties from fixed frame to moving frame are discussed, in the process the covariant decomposing methods are used. The r-s-matrix independent of field except the connection of the space is found.







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