BRAIN. Broad Research in Artificial Intelligence and Neuroscience

Volume: 1 | Issue: 0

On the (colored) Yang-Baxter Equation

David Hobby - Department of Mathematics SUNY of New Paltz (US), Barna Iantovics - "Petru Maior" University of Targu Mures (RO), Florin Felix Nichita - Institute of Mathematics "Simion Stoilow" of the Romanian Academy, Bucharest (RO),

Abstract

The quantum Yang-Baxter equation ¯rst appeared in theoretical physics and statistical mechanics. Afterwards, it has proved to be
important also in knot theory, quantum groups, etc. This paper deals with the (colored) Yang-Baxter equation and computational methods. A new result about the set-theoretical Yang-Baxter equation is presented.

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