1999/03/18 by Timothy J. Hodges, Hodges, Timothy J.
Mathematics · #81R50 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:81R50
paper · pdf · doi:10.48550/arxiv.math/9903113
arxiv created 1999/03/18 · arxiv updated 2009/11/30
The coefficients of certain operators on V⊗ V can be constructed using generating functions. Necessary and sufficient conditions are given for some such operators to satisfy the Yang-Baxter equation. As a corollary we obtain a simple, direct proof that the Cremmer-Gervais R-matrices satisfy the Yang-Baxter equation. This approach also clarifies Cremmer and Gervais's original proof via the dynamical Yang-Baxter equation.