New Solutions Of Yang-Baxter Equation Research Articles

Yang-Baxterization and New Solutions Associated with SU(2) Tensorial Space **The project supported in part by National Natural Science Foundation of China.

By applying extended diagrammatic technique to SU(2) tensorial space new solutions of the correspondent braid group representations and their Yang-Baxterization are established. The explicit forms of the new solutions of Yang-Baxter equation for j = 1 are given. Through this example the general feature of this new type of solutions is figured out.

Quantum Group Construction of Non-standard R-matrix for Yang-Baxter Equation

By taking the concept of weight conservation into account, new solutions of Yang-Baxter equation without spectral parameter are obtained through the non-standard R-matrix on the tensorial space V1/2 ⊗ Vj (j ≠ 1/2) in terms of the irreducible representation of the quantum universal enveloping algebra SLq (2). The non-standard R-matrix R1/2 1 is obtained in an explicit form for j = 1.