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Yang-Baxter Systems, Algebra Factorizations and Braided Categories
Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, Bucharest 010702, Romania
Received: 13 August 2013; in revised form: 30 August 2013 / Accepted: 30 August 2013 / Published: 3 September 2013
Abstract: The Yang-Baxter equation first appeared in a paper by the Nobel laureate, C.N. Yang, and in R.J. Baxter’s work. Later, Vladimir Drinfeld, Vaughan F. R. Jones and Edward Witten were awarded Fields Medals for their work related to the Yang-Baxter equation. After a short review on this equation and the Yang-Baxter systems, we consider the problem of constructing algebra factorizations from Yang-Baxter systems. Our sketch of proof uses braided categories. Other problems are also proposed.
Keywords: Yang-Baxter system; algebra factorization; braided category
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Cite This Article
MDPI and ACS Style
Nichita, F.F. Yang-Baxter Systems, Algebra Factorizations and Braided Categories. Axioms 2013, 2, 437-442.
Nichita FF. Yang-Baxter Systems, Algebra Factorizations and Braided Categories. Axioms. 2013; 2(3):437-442.
Nichita, Florin F. 2013. "Yang-Baxter Systems, Algebra Factorizations and Braided Categories." Axioms 2, no. 3: 437-442.