Ys. Wang et By. Hou, POISSON-LIE STRUCTURE OF O(N) NONLINEAR SIGMA-MODEL IN MOVING FRAMES, High energy physics & nuclear physics, 18(4), 1994, pp. 345-355
The Poisson-Lie structure of non-linear a-model is given in O(n)/O(n -
1) symmetric space, and the covariant relation between moving frame a
nd fixed frame is discussed by making use of the method of covariant d
ecomposition. It Is clear that the field-dependence of the r and s mat
rices results from the connection of S-n-1 manifold.