General Solutions Of 4×4 Singular Upper Triangle Quantum Coloured Yang-Baxter Matrix Equation(Ⅰ)

In this paper, we get the general solutions of 4×4 singular upper triangle quantum coloured Yang-Baxter matrix equation. This paper has three chapters. In the first chapter, we introduce the definition of quantum coloured Yang-Baxter function equation system and give the author's principal results. In the second chapter, we give the lemmas and the proof used in this paper in detail. In the third chaper, we give the general solutions of 4×4 singular upper triangle quantum coloured Yang-Baxter matrix equation in half of all cases.