Classification of Non-Affine Non-Hecke Dynamical R-Matrices

Abstract

A complete classification of non-affine dynamical quantum $R$-matrices obeying the $Gl_n(C)$-Gervais-Neveu-Felder equation is obtained without assuming either Hecke or weak Hecke conditions. More general dynamical dependences are observed. It is shown that any solution is built upon elementary blocks, which individually satisfy the weak Hecke condition.

Keywords

• quantum integrable systems
• dynamical Yang-Baxter equation
• (weak) Hecke algebras