The Cremmer-Gervais solution of the Yang-Baxter equation

1997/12/12 by Timothy J. Hodges, Hodges, Timothy J.
Mathematics · Physics and Astronomy · #17B37 #81R50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA #msc:17B37 #msc:81R50 #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9712036

7 pages

arxiv created 1997/12/12 · openalex publication_date 1997/12/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A direct proof is given of the fact that the Cremmer-Gervais R-matrices satisfy the Yang-Baxter equation.

Related

• Generating functions for the coefficients of the Cremmer-Gervais R-matrices
• On rime Ansatz
• Solutions to the matrix Yang-Baxter equation
• R-matrices in Rime
• How to solve Yang-Baxter equation using the Taylor expansion of R-matrix