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Axioms 2013, 2(3), 437-442; doi:10.3390/axioms2030437

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 / Revised: 30 August 2013 / Accepted: 30 August 2013 / Published: 3 September 2013
(This article belongs to the Special Issue Hopf Algebras, Quantum Groups and Yang-Baxter Equations 2013)
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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 Yang-Baxter system; algebra factorization; braided category
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Nichita, F.F. Yang-Baxter Systems, Algebra Factorizations and Braided Categories. Axioms 2013, 2, 437-442.

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