CHINESE CTR ADV SCI & TECHNOL,WORLD LAB,BEIJING,PEOPLES R CHINA
; INST HIGH ENERGY PHYS,BEIJING 100039,PEOPLES R CHINA
The quantum R matrix for E7 and F4 are explicitly constructed for the defining representations 56 and 26 of E7 and F4, respectively. For these, Skein relations, link polynomials, and spectral parameter-dependent solutions of Yang-Baxter equation are obtained. The R matrix for the matrix elements related by the Weyl reflection has different values surprisingly.