活动标架系下以O（3）非线性σ模型Lax－pair矩阵的Poisson－Lie结构

POISSSON-LIE STRUCTURE OF LAX-PAIR MATRIX OF INTEGRABLE CLASSICAL NON-LINEAR SIGMA MODEL UNDER THE MOVING FRAME DING XIANG-NAO WANG YAN-SHEN

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 σmodel in O(3)/O(2)sy- mmetric space. Covariant properties from fixed frame to moving frame are discu-ssed,in the process the covariant decomposing methods are used.The r-s-matrixindependent of field except the connection of the space is found.