Adams operators and knot decorations

摘要: We use an explicit isomorphism from the representation ring of quantum group U_q(sl(N)) to Homfly skein annulus, determine element which is image mth Adams operator, \psi_m, on fundamental representation, c_1. This a linear combination m very simple m-string braids. Using this element, we show that Vassiliev invariant degree n in power series expansion knot coloured by \psi_m(c_1) canonical with weight system W_n\psi_m^{(n)} where W_n for c_1 and \psi_m^{(n)} operator n-chord diagrams defined Bar-Natan.