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Solutions to Quantum Yang-Baxter Equation

Jarmo Hietarinta's work on the constant quantum Yang-Baxter equation is a significant contribution to mathematical physics. His research focuses on finding and analyzing solutions to this equation, particularly in two dimensions. Hietarinta has identified a complete set of solutions for the constant quantum Yang-Baxter equation in two dimensions, totaling 96 solutions that fall into 23 distinct classes.

His findings were presented at the 19th International Colloquium on Group-theoretical Methods in Physics, where he delivered a talk detailing the complete solution. His work is documented in publications such as "All solutions to the constant quantum Yang-Baxter equation in two dimensions," published in Physics Letters A. Hietarinta's research offers insights into the mathematical structures that underlie various physical phenomena.

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References :
  • nLab: Selected writings Complete list of solutions for the constant in dim = 2 dim=2 (96, falling in 23 classes)
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