Yang-Baxter Systems, Algebra Factorizations and Braided Categories

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...

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Bibliographic Details
Main Author: Florin F. Nichita
Format: Article
Language:English
Published: MDPI AG 2013-09-01
Series:Axioms
Subjects:
Online Access:http://www.mdpi.com/2075-1680/2/3/437
Description
Summary: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.
ISSN:2075-1680